2(y-2)-3(y+4)=2

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Solution for 2(y-2)-3(y+4)=2 equation: 


Simplifying
2(y + -2) + -3(y + 4) = 2

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

Reorder the terms:
-4 + 2y + -3(4 + y) = 2
-4 + 2y + (4 * -3 + y * -3) = 2
-4 + 2y + (-12 + -3y) = 2

Reorder the terms:
-4 + -12 + 2y + -3y = 2

Combine like terms: -4 + -12 = -16
-16 + 2y + -3y = 2

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

Solving
-16 + -1y = 2

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + -1y = 2 + 16

Combine like terms: -16 + 16 = 0
0 + -1y = 2 + 16
-1y = 2 + 16

Combine like terms: 2 + 16 = 18
-1y = 18

Divide each side by '-1'.
y = -18

Simplifying
y = -18

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