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Simplifying -4 + -8(-1y + 1) = -8(-3y + 6) + -6 Reorder the terms: -4 + -8(1 + -1y) = -8(-3y + 6) + -6 -4 + (1 * -8 + -1y * -8) = -8(-3y + 6) + -6 -4 + (-8 + 8y) = -8(-3y + 6) + -6 Combine like terms: -4 + -8 = -12 -12 + 8y = -8(-3y + 6) + -6 Reorder the terms: -12 + 8y = -8(6 + -3y) + -6 -12 + 8y = (6 * -8 + -3y * -8) + -6 -12 + 8y = (-48 + 24y) + -6 Reorder the terms: -12 + 8y = -48 + -6 + 24y Combine like terms: -48 + -6 = -54 -12 + 8y = -54 + 24y Solving -12 + 8y = -54 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -12 + 8y + -24y = -54 + 24y + -24y Combine like terms: 8y + -24y = -16y -12 + -16y = -54 + 24y + -24y Combine like terms: 24y + -24y = 0 -12 + -16y = -54 + 0 -12 + -16y = -54 Add '12' to each side of the equation. -12 + 12 + -16y = -54 + 12 Combine like terms: -12 + 12 = 0 0 + -16y = -54 + 12 -16y = -54 + 12 Combine like terms: -54 + 12 = -42 -16y = -42 Divide each side by '-16'. y = 2.625 Simplifying y = 2.625
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