9y-15-2y=3(y-1)-y

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Solution for 9y-15-2y=3(y-1)-y equation:


Simplifying
9y + -15 + -2y = 3(y + -1) + -1y

Reorder the terms:
-15 + 9y + -2y = 3(y + -1) + -1y

Combine like terms: 9y + -2y = 7y
-15 + 7y = 3(y + -1) + -1y

Reorder the terms:
-15 + 7y = 3(-1 + y) + -1y
-15 + 7y = (-1 * 3 + y * 3) + -1y
-15 + 7y = (-3 + 3y) + -1y

Combine like terms: 3y + -1y = 2y
-15 + 7y = -3 + 2y

Solving
-15 + 7y = -3 + 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.
-15 + 7y + -2y = -3 + 2y + -2y

Combine like terms: 7y + -2y = 5y
-15 + 5y = -3 + 2y + -2y

Combine like terms: 2y + -2y = 0
-15 + 5y = -3 + 0
-15 + 5y = -3

Add '15' to each side of the equation.
-15 + 15 + 5y = -3 + 15

Combine like terms: -15 + 15 = 0
0 + 5y = -3 + 15
5y = -3 + 15

Combine like terms: -3 + 15 = 12
5y = 12

Divide each side by '5'.
y = 2.4

Simplifying
y = 2.4

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