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Simplifying 8(6 + y) = 7(y + -9) (6 * 8 + y * 8) = 7(y + -9) (48 + 8y) = 7(y + -9) Reorder the terms: 48 + 8y = 7(-9 + y) 48 + 8y = (-9 * 7 + y * 7) 48 + 8y = (-63 + 7y) Solving 48 + 8y = -63 + 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. 48 + 8y + -7y = -63 + 7y + -7y Combine like terms: 8y + -7y = 1y 48 + 1y = -63 + 7y + -7y Combine like terms: 7y + -7y = 0 48 + 1y = -63 + 0 48 + 1y = -63 Add '-48' to each side of the equation. 48 + -48 + 1y = -63 + -48 Combine like terms: 48 + -48 = 0 0 + 1y = -63 + -48 1y = -63 + -48 Combine like terms: -63 + -48 = -111 1y = -111 Divide each side by '1'. y = -111 Simplifying y = -111
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