9(4-y)+2=-2(y-2)-3

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Solution for 9(4-y)+2=-2(y-2)-3 equation: 


Simplifying
9(4 + -1y) + 2 = -2(y + -2) + -3
(4 * 9 + -1y * 9) + 2 = -2(y + -2) + -3
(36 + -9y) + 2 = -2(y + -2) + -3

Reorder the terms:
36 + 2 + -9y = -2(y + -2) + -3

Combine like terms: 36 + 2 = 38
38 + -9y = -2(y + -2) + -3

Reorder the terms:
38 + -9y = -2(-2 + y) + -3
38 + -9y = (-2 * -2 + y * -2) + -3
38 + -9y = (4 + -2y) + -3

Reorder the terms:
38 + -9y = 4 + -3 + -2y

Combine like terms: 4 + -3 = 1
38 + -9y = 1 + -2y

Solving
38 + -9y = 1 + -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.
38 + -9y + 2y = 1 + -2y + 2y

Combine like terms: -9y + 2y = -7y
38 + -7y = 1 + -2y + 2y

Combine like terms: -2y + 2y = 0
38 + -7y = 1 + 0
38 + -7y = 1

Add '-38' to each side of the equation.
38 + -38 + -7y = 1 + -38

Combine like terms: 38 + -38 = 0
0 + -7y = 1 + -38
-7y = 1 + -38

Combine like terms: 1 + -38 = -37
-7y = -37

Divide each side by '-7'.
y = 5.285714286

Simplifying
y = 5.285714286

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