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Simplifying -3y + -3(9y + 4) = -9 + 4(8 + -1y) Reorder the terms: -3y + -3(4 + 9y) = -9 + 4(8 + -1y) -3y + (4 * -3 + 9y * -3) = -9 + 4(8 + -1y) -3y + (-12 + -27y) = -9 + 4(8 + -1y) Reorder the terms: -12 + -3y + -27y = -9 + 4(8 + -1y) Combine like terms: -3y + -27y = -30y -12 + -30y = -9 + 4(8 + -1y) -12 + -30y = -9 + (8 * 4 + -1y * 4) -12 + -30y = -9 + (32 + -4y) Combine like terms: -9 + 32 = 23 -12 + -30y = 23 + -4y Solving -12 + -30y = 23 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -12 + -30y + 4y = 23 + -4y + 4y Combine like terms: -30y + 4y = -26y -12 + -26y = 23 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + -26y = 23 + 0 -12 + -26y = 23 Add '12' to each side of the equation. -12 + 12 + -26y = 23 + 12 Combine like terms: -12 + 12 = 0 0 + -26y = 23 + 12 -26y = 23 + 12 Combine like terms: 23 + 12 = 35 -26y = 35 Divide each side by '-26'. y = -1.346153846 Simplifying y = -1.346153846
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