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Simplifying -1(-2y + -4) = 4(2y + -12) Reorder the terms: -1(-4 + -2y) = 4(2y + -12) (-4 * -1 + -2y * -1) = 4(2y + -12) (4 + 2y) = 4(2y + -12) Reorder the terms: 4 + 2y = 4(-12 + 2y) 4 + 2y = (-12 * 4 + 2y * 4) 4 + 2y = (-48 + 8y) Solving 4 + 2y = -48 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 4 + 2y + -8y = -48 + 8y + -8y Combine like terms: 2y + -8y = -6y 4 + -6y = -48 + 8y + -8y Combine like terms: 8y + -8y = 0 4 + -6y = -48 + 0 4 + -6y = -48 Add '-4' to each side of the equation. 4 + -4 + -6y = -48 + -4 Combine like terms: 4 + -4 = 0 0 + -6y = -48 + -4 -6y = -48 + -4 Combine like terms: -48 + -4 = -52 -6y = -52 Divide each side by '-6'. y = 8.666666667 Simplifying y = 8.666666667
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