2-3(y-2)=2(y+4)+5

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Solution for 2-3(y-2)=2(y+4)+5 equation: 


Simplifying
2 + -3(y + -2) = 2(y + 4) + 5

Reorder the terms:
2 + -3(-2 + y) = 2(y + 4) + 5
2 + (-2 * -3 + y * -3) = 2(y + 4) + 5
2 + (6 + -3y) = 2(y + 4) + 5

Combine like terms: 2 + 6 = 8
8 + -3y = 2(y + 4) + 5

Reorder the terms:
8 + -3y = 2(4 + y) + 5
8 + -3y = (4 * 2 + y * 2) + 5
8 + -3y = (8 + 2y) + 5

Reorder the terms:
8 + -3y = 8 + 5 + 2y

Combine like terms: 8 + 5 = 13
8 + -3y = 13 + 2y

Solving
8 + -3y = 13 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
8 + -3y + -2y = 13 + 2y + -2y

Combine like terms: -3y + -2y = -5y
8 + -5y = 13 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + -5y = 13 + 0
8 + -5y = 13

Add '-8' to each side of the equation.
8 + -8 + -5y = 13 + -8

Combine like terms: 8 + -8 = 0
0 + -5y = 13 + -8
-5y = 13 + -8

Combine like terms: 13 + -8 = 5
-5y = 5

Divide each side by '-5'.
y = -1

Simplifying
y = -1

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