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Simplifying -3y + 4(-4y + 6) = -1 + -8(-9 + -1y) Reorder the terms: -3y + 4(6 + -4y) = -1 + -8(-9 + -1y) -3y + (6 * 4 + -4y * 4) = -1 + -8(-9 + -1y) -3y + (24 + -16y) = -1 + -8(-9 + -1y) Reorder the terms: 24 + -3y + -16y = -1 + -8(-9 + -1y) Combine like terms: -3y + -16y = -19y 24 + -19y = -1 + -8(-9 + -1y) 24 + -19y = -1 + (-9 * -8 + -1y * -8) 24 + -19y = -1 + (72 + 8y) Combine like terms: -1 + 72 = 71 24 + -19y = 71 + 8y Solving 24 + -19y = 71 + 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. 24 + -19y + -8y = 71 + 8y + -8y Combine like terms: -19y + -8y = -27y 24 + -27y = 71 + 8y + -8y Combine like terms: 8y + -8y = 0 24 + -27y = 71 + 0 24 + -27y = 71 Add '-24' to each side of the equation. 24 + -24 + -27y = 71 + -24 Combine like terms: 24 + -24 = 0 0 + -27y = 71 + -24 -27y = 71 + -24 Combine like terms: 71 + -24 = 47 -27y = 47 Divide each side by '-27'. y = -1.740740741 Simplifying y = -1.740740741
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