(4y-9)+12=2y-5

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Solution for (4y-9)+12=2y-5 equation:


Simplifying
(4y + -9) + 12 = 2y + -5

Reorder the terms:
(-9 + 4y) + 12 = 2y + -5

Remove parenthesis around (-9 + 4y)
-9 + 4y + 12 = 2y + -5

Reorder the terms:
-9 + 12 + 4y = 2y + -5

Combine like terms: -9 + 12 = 3
3 + 4y = 2y + -5

Reorder the terms:
3 + 4y = -5 + 2y

Solving
3 + 4y = -5 + 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.
3 + 4y + -2y = -5 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
3 + 2y = -5 + 0
3 + 2y = -5

Add '-3' to each side of the equation.
3 + -3 + 2y = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 2y = -5 + -3
2y = -5 + -3

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

Divide each side by '2'.
y = -4

Simplifying
y = -4

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