12(6y-3)-7(8y-4)=-220

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Solution for 12(6y-3)-7(8y-4)=-220 equation:


Simplifying
12(6y + -3) + -7(8y + -4) = -220

Reorder the terms:
12(-3 + 6y) + -7(8y + -4) = -220
(-3 * 12 + 6y * 12) + -7(8y + -4) = -220
(-36 + 72y) + -7(8y + -4) = -220

Reorder the terms:
-36 + 72y + -7(-4 + 8y) = -220
-36 + 72y + (-4 * -7 + 8y * -7) = -220
-36 + 72y + (28 + -56y) = -220

Reorder the terms:
-36 + 28 + 72y + -56y = -220

Combine like terms: -36 + 28 = -8
-8 + 72y + -56y = -220

Combine like terms: 72y + -56y = 16y
-8 + 16y = -220

Solving
-8 + 16y = -220

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 16y = -220 + 8

Combine like terms: -8 + 8 = 0
0 + 16y = -220 + 8
16y = -220 + 8

Combine like terms: -220 + 8 = -212
16y = -212

Divide each side by '16'.
y = -13.25

Simplifying
y = -13.25

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