-6(-5y+8)-9y=7(y-3)-9

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Solution for -6(-5y+8)-9y=7(y-3)-9 equation:


Simplifying
-6(-5y + 8) + -9y = 7(y + -3) + -9

Reorder the terms:
-6(8 + -5y) + -9y = 7(y + -3) + -9
(8 * -6 + -5y * -6) + -9y = 7(y + -3) + -9
(-48 + 30y) + -9y = 7(y + -3) + -9

Combine like terms: 30y + -9y = 21y
-48 + 21y = 7(y + -3) + -9

Reorder the terms:
-48 + 21y = 7(-3 + y) + -9
-48 + 21y = (-3 * 7 + y * 7) + -9
-48 + 21y = (-21 + 7y) + -9

Reorder the terms:
-48 + 21y = -21 + -9 + 7y

Combine like terms: -21 + -9 = -30
-48 + 21y = -30 + 7y

Solving
-48 + 21y = -30 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-48 + 21y + -7y = -30 + 7y + -7y

Combine like terms: 21y + -7y = 14y
-48 + 14y = -30 + 7y + -7y

Combine like terms: 7y + -7y = 0
-48 + 14y = -30 + 0
-48 + 14y = -30

Add '48' to each side of the equation.
-48 + 48 + 14y = -30 + 48

Combine like terms: -48 + 48 = 0
0 + 14y = -30 + 48
14y = -30 + 48

Combine like terms: -30 + 48 = 18
14y = 18

Divide each side by '14'.
y = 1.285714286

Simplifying
y = 1.285714286

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