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

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


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

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

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

Solving
-4 + 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.
-4 + 2y + -3y = 9 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-4 + -1y = 9 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + -1y = 9 + 0
-4 + -1y = 9

Add '4' to each side of the equation.
-4 + 4 + -1y = 9 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = 9 + 4
-1y = 9 + 4

Combine like terms: 9 + 4 = 13
-1y = 13

Divide each side by '-1'.
y = -13

Simplifying
y = -13

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