3(y-3)+2(y+2)=30

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Solution for 3(y-3)+2(y+2)=30 equation: 


Simplifying
3(y + -3) + 2(y + 2) = 30

Reorder the terms:
3(-3 + y) + 2(y + 2) = 30
(-3 * 3 + y * 3) + 2(y + 2) = 30
(-9 + 3y) + 2(y + 2) = 30

Reorder the terms:
-9 + 3y + 2(2 + y) = 30
-9 + 3y + (2 * 2 + y * 2) = 30
-9 + 3y + (4 + 2y) = 30

Reorder the terms:
-9 + 4 + 3y + 2y = 30

Combine like terms: -9 + 4 = -5
-5 + 3y + 2y = 30

Combine like terms: 3y + 2y = 5y
-5 + 5y = 30

Solving
-5 + 5y = 30

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + 5y = 30 + 5

Combine like terms: -5 + 5 = 0
0 + 5y = 30 + 5
5y = 30 + 5

Combine like terms: 30 + 5 = 35
5y = 35

Divide each side by '5'.
y = 7

Simplifying
y = 7

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