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Question
6\left(y+5\right)-3y
Simplify the expression
3y+30
Evaluate
6\left(y+5\right)-3y
Expand the expression
More Steps
Calculate
6\left(y+5\right)
Apply the distributive property
6y+6\times 5
Multiply the numbers
6y+30
6y+30-3y
Solution
More Steps
Evaluate
6y-3y
Collect like terms by calculating the sum or difference of their coefficients
\left(6-3\right)y
Subtract the numbers
3y
3y+30
Show Solutions
Factor the expression
3\left(y+10\right)
Evaluate
6\left(y+5\right)-3y
Simplify
More Steps
Evaluate
6\left(y+5\right)
Apply the distributive property
6y+6\times 5
Multiply the terms
6y+30
6y+30-3y
Subtract the terms
More Steps
Evaluate
6y-3y
Collect like terms by calculating the sum or difference of their coefficients
\left(6-3\right)y
Subtract the numbers
3y
3y+30
Solution
3\left(y+10\right)
Show Solutions
Find the roots
y=-10
Evaluate
6\left(y+5\right)-3y
To find the roots of the expression,set the expression equal to 0
6\left(y+5\right)-3y=0
Calculate
More Steps
Evaluate
6\left(y+5\right)-3y
Expand the expression
More Steps
Calculate
6\left(y+5\right)
Apply the distributive property
6y+6\times 5
Multiply the numbers
6y+30
6y+30-3y
Subtract the terms
More Steps
Evaluate
6y-3y
Collect like terms by calculating the sum or difference of their coefficients
\left(6-3\right)y
Subtract the numbers
3y
3y+30
3y+30=0
Move the constant to the right-hand side and change its sign
3y=0-30
Removing 0 doesn't change the value,so remove it from the expression
3y=-30
Divide both sides
\frac{3y}{3}=\frac{-30}{3}
Divide the numbers
y=\frac{-30}{3}
Solution
More Steps
Evaluate
\frac{-30}{3}
Reduce the numbers
\frac{-10}{1}
Calculate
-10
y=-10
Show Solutions
