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Simplifying 5 + 8(-3y + 7) = -7(6y + -5) + -2 Reorder the terms: 5 + 8(7 + -3y) = -7(6y + -5) + -2 5 + (7 * 8 + -3y * 8) = -7(6y + -5) + -2 5 + (56 + -24y) = -7(6y + -5) + -2 Combine like terms: 5 + 56 = 61 61 + -24y = -7(6y + -5) + -2 Reorder the terms: 61 + -24y = -7(-5 + 6y) + -2 61 + -24y = (-5 * -7 + 6y * -7) + -2 61 + -24y = (35 + -42y) + -2 Reorder the terms: 61 + -24y = 35 + -2 + -42y Combine like terms: 35 + -2 = 33 61 + -24y = 33 + -42y Solving 61 + -24y = 33 + -42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42y' to each side of the equation. 61 + -24y + 42y = 33 + -42y + 42y Combine like terms: -24y + 42y = 18y 61 + 18y = 33 + -42y + 42y Combine like terms: -42y + 42y = 0 61 + 18y = 33 + 0 61 + 18y = 33 Add '-61' to each side of the equation. 61 + -61 + 18y = 33 + -61 Combine like terms: 61 + -61 = 0 0 + 18y = 33 + -61 18y = 33 + -61 Combine like terms: 33 + -61 = -28 18y = -28 Divide each side by '18'. y = -1.555555556 Simplifying y = -1.555555556
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