2(y-8)=3(y+3)

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Solution for 2(y-8)=3(y+3) equation: 


Simplifying
2(y + -8) = 3(y + 3)

Reorder the terms:
2(-8 + y) = 3(y + 3)
(-8 * 2 + y * 2) = 3(y + 3)
(-16 + 2y) = 3(y + 3)

Reorder the terms:
-16 + 2y = 3(3 + y)
-16 + 2y = (3 * 3 + y * 3)
-16 + 2y = (9 + 3y)

Solving
-16 + 2y = 9 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-16 + 2y + -3y = 9 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-16 + -1y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
-16 + -1y = 9 + 0
-16 + -1y = 9

Add '16' to each side of the equation.
-16 + 16 + -1y = 9 + 16

Combine like terms: -16 + 16 = 0
0 + -1y = 9 + 16
-1y = 9 + 16

Combine like terms: 9 + 16 = 25
-1y = 25

Divide each side by '-1'.
y = -25

Simplifying
y = -25

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