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

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


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

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

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

Combine like terms: -9 + -9 = -18
-18 + 3y = -4(-7y + 7) + -9y

Reorder the terms:
-18 + 3y = -4(7 + -7y) + -9y
-18 + 3y = (7 * -4 + -7y * -4) + -9y
-18 + 3y = (-28 + 28y) + -9y

Combine like terms: 28y + -9y = 19y
-18 + 3y = -28 + 19y

Solving
-18 + 3y = -28 + 19y

Solving for variable 'y'.

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

Add '-19y' to each side of the equation.
-18 + 3y + -19y = -28 + 19y + -19y

Combine like terms: 3y + -19y = -16y
-18 + -16y = -28 + 19y + -19y

Combine like terms: 19y + -19y = 0
-18 + -16y = -28 + 0
-18 + -16y = -28

Add '18' to each side of the equation.
-18 + 18 + -16y = -28 + 18

Combine like terms: -18 + 18 = 0
0 + -16y = -28 + 18
-16y = -28 + 18

Combine like terms: -28 + 18 = -10
-16y = -10

Divide each side by '-16'.
y = 0.625

Simplifying
y = 0.625

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