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Simplifying -1(8 + 12y) = -2(8y + -4) (8 * -1 + 12y * -1) = -2(8y + -4) (-8 + -12y) = -2(8y + -4) Reorder the terms: -8 + -12y = -2(-4 + 8y) -8 + -12y = (-4 * -2 + 8y * -2) -8 + -12y = (8 + -16y) Solving -8 + -12y = 8 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. -8 + -12y + 16y = 8 + -16y + 16y Combine like terms: -12y + 16y = 4y -8 + 4y = 8 + -16y + 16y Combine like terms: -16y + 16y = 0 -8 + 4y = 8 + 0 -8 + 4y = 8 Add '8' to each side of the equation. -8 + 8 + 4y = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = 8 + 8 4y = 8 + 8 Combine like terms: 8 + 8 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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