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Simplifying 8(y + 6) = 7y + -9 Reorder the terms: 8(6 + y) = 7y + -9 (6 * 8 + y * 8) = 7y + -9 (48 + 8y) = 7y + -9 Reorder the terms: 48 + 8y = -9 + 7y Solving 48 + 8y = -9 + 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 = -9 + 7y + -7y Combine like terms: 8y + -7y = 1y 48 + 1y = -9 + 7y + -7y Combine like terms: 7y + -7y = 0 48 + 1y = -9 + 0 48 + 1y = -9 Add '-48' to each side of the equation. 48 + -48 + 1y = -9 + -48 Combine like terms: 48 + -48 = 0 0 + 1y = -9 + -48 1y = -9 + -48 Combine like terms: -9 + -48 = -57 1y = -57 Divide each side by '1'. y = -57 Simplifying y = -57
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