7(y-1)-2=-3(-9y+7)-4y

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Solution for 7(y-1)-2=-3(-9y+7)-4y equation:


Simplifying
7(y + -1) + -2 = -3(-9y + 7) + -4y

Reorder the terms:
7(-1 + y) + -2 = -3(-9y + 7) + -4y
(-1 * 7 + y * 7) + -2 = -3(-9y + 7) + -4y
(-7 + 7y) + -2 = -3(-9y + 7) + -4y

Reorder the terms:
-7 + -2 + 7y = -3(-9y + 7) + -4y

Combine like terms: -7 + -2 = -9
-9 + 7y = -3(-9y + 7) + -4y

Reorder the terms:
-9 + 7y = -3(7 + -9y) + -4y
-9 + 7y = (7 * -3 + -9y * -3) + -4y
-9 + 7y = (-21 + 27y) + -4y

Combine like terms: 27y + -4y = 23y
-9 + 7y = -21 + 23y

Solving
-9 + 7y = -21 + 23y

Solving for variable 'y'.

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

Add '-23y' to each side of the equation.
-9 + 7y + -23y = -21 + 23y + -23y

Combine like terms: 7y + -23y = -16y
-9 + -16y = -21 + 23y + -23y

Combine like terms: 23y + -23y = 0
-9 + -16y = -21 + 0
-9 + -16y = -21

Add '9' to each side of the equation.
-9 + 9 + -16y = -21 + 9

Combine like terms: -9 + 9 = 0
0 + -16y = -21 + 9
-16y = -21 + 9

Combine like terms: -21 + 9 = -12
-16y = -12

Divide each side by '-16'.
y = 0.75

Simplifying
y = 0.75

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