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Simplifying -4(y + 1) = 8y + -2 + 2(2y + 8) Reorder the terms: -4(1 + y) = 8y + -2 + 2(2y + 8) (1 * -4 + y * -4) = 8y + -2 + 2(2y + 8) (-4 + -4y) = 8y + -2 + 2(2y + 8) Reorder the terms: -4 + -4y = 8y + -2 + 2(8 + 2y) -4 + -4y = 8y + -2 + (8 * 2 + 2y * 2) -4 + -4y = 8y + -2 + (16 + 4y) Reorder the terms: -4 + -4y = -2 + 16 + 8y + 4y Combine like terms: -2 + 16 = 14 -4 + -4y = 14 + 8y + 4y Combine like terms: 8y + 4y = 12y -4 + -4y = 14 + 12y Solving -4 + -4y = 14 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -4 + -4y + -12y = 14 + 12y + -12y Combine like terms: -4y + -12y = -16y -4 + -16y = 14 + 12y + -12y Combine like terms: 12y + -12y = 0 -4 + -16y = 14 + 0 -4 + -16y = 14 Add '4' to each side of the equation. -4 + 4 + -16y = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -16y = 14 + 4 -16y = 14 + 4 Combine like terms: 14 + 4 = 18 -16y = 18 Divide each side by '-16'. y = -1.125 Simplifying y = -1.125
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