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Simplifying 8(y + 6) = 5 + 9y Reorder the terms: 8(6 + y) = 5 + 9y (6 * 8 + y * 8) = 5 + 9y (48 + 8y) = 5 + 9y Solving 48 + 8y = 5 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 48 + 8y + -9y = 5 + 9y + -9y Combine like terms: 8y + -9y = -1y 48 + -1y = 5 + 9y + -9y Combine like terms: 9y + -9y = 0 48 + -1y = 5 + 0 48 + -1y = 5 Add '-48' to each side of the equation. 48 + -48 + -1y = 5 + -48 Combine like terms: 48 + -48 = 0 0 + -1y = 5 + -48 -1y = 5 + -48 Combine like terms: 5 + -48 = -43 -1y = -43 Divide each side by '-1'. y = 43 Simplifying y = 43
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