9y-4-6y=2(y-1)-5

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Solution for 9y-4-6y=2(y-1)-5 equation:


Simplifying
9y + -4 + -6y = 2(y + -1) + -5

Reorder the terms:
-4 + 9y + -6y = 2(y + -1) + -5

Combine like terms: 9y + -6y = 3y
-4 + 3y = 2(y + -1) + -5

Reorder the terms:
-4 + 3y = 2(-1 + y) + -5
-4 + 3y = (-1 * 2 + y * 2) + -5
-4 + 3y = (-2 + 2y) + -5

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

Combine like terms: -2 + -5 = -7
-4 + 3y = -7 + 2y

Solving
-4 + 3y = -7 + 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.
-4 + 3y + -2y = -7 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-4 + 1y = -7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + 1y = -7 + 0
-4 + 1y = -7

Add '4' to each side of the equation.
-4 + 4 + 1y = -7 + 4

Combine like terms: -4 + 4 = 0
0 + 1y = -7 + 4
1y = -7 + 4

Combine like terms: -7 + 4 = -3
1y = -3

Divide each side by '1'.
y = -3

Simplifying
y = -3

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