Solve for y
y=0
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10\left(\frac{3y}{2}+1\right)+2y=10
Multiply both sides of the equation by 2.
10\times \frac{3y}{2}+10+2y=10
Use the distributive property to multiply 10 by \frac{3y}{2}+1.
5\times 3y+10+2y=10
Cancel out 2, the greatest common factor in 10 and 2.
15y+10+2y=10
Multiply 5 and 3 to get 15.
17y+10=10
Combine 15y and 2y to get 17y.
17y=10-10
Subtract 10 from both sides.
17y=0
Subtract 10 from 10 to get 0.
y=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 17 is not equal to 0, y must be equal to 0.
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