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Simplifying 4(-3y + 4) = -5[4y + -5(-1y + 10)] Reorder the terms: 4(4 + -3y) = -5[4y + -5(-1y + 10)] (4 * 4 + -3y * 4) = -5[4y + -5(-1y + 10)] (16 + -12y) = -5[4y + -5(-1y + 10)] Reorder the terms: 16 + -12y = -5[4y + -5(10 + -1y)] 16 + -12y = -5[4y + (10 * -5 + -1y * -5)] 16 + -12y = -5[4y + (-50 + 5y)] Reorder the terms: 16 + -12y = -5[-50 + 4y + 5y] Combine like terms: 4y + 5y = 9y 16 + -12y = -5[-50 + 9y] 16 + -12y = [-50 * -5 + 9y * -5] 16 + -12y = [250 + -45y] Solving 16 + -12y = 250 + -45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45y' to each side of the equation. 16 + -12y + 45y = 250 + -45y + 45y Combine like terms: -12y + 45y = 33y 16 + 33y = 250 + -45y + 45y Combine like terms: -45y + 45y = 0 16 + 33y = 250 + 0 16 + 33y = 250 Add '-16' to each side of the equation. 16 + -16 + 33y = 250 + -16 Combine like terms: 16 + -16 = 0 0 + 33y = 250 + -16 33y = 250 + -16 Combine like terms: 250 + -16 = 234 33y = 234 Divide each side by '33'. y = 7.090909091 Simplifying y = 7.090909091
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