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Simplifying 8(y + -9) = 7(5 + y) Reorder the terms: 8(-9 + y) = 7(5 + y) (-9 * 8 + y * 8) = 7(5 + y) (-72 + 8y) = 7(5 + y) -72 + 8y = (5 * 7 + y * 7) -72 + 8y = (35 + 7y) Solving -72 + 8y = 35 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -72 + 8y + -7y = 35 + 7y + -7y Combine like terms: 8y + -7y = 1y -72 + 1y = 35 + 7y + -7y Combine like terms: 7y + -7y = 0 -72 + 1y = 35 + 0 -72 + 1y = 35 Add '72' to each side of the equation. -72 + 72 + 1y = 35 + 72 Combine like terms: -72 + 72 = 0 0 + 1y = 35 + 72 1y = 35 + 72 Combine like terms: 35 + 72 = 107 1y = 107 Divide each side by '1'. y = 107 Simplifying y = 107
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