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Simplifying 5(y + -5) + 8(y + 1) = 61 Reorder the terms: 5(-5 + y) + 8(y + 1) = 61 (-5 * 5 + y * 5) + 8(y + 1) = 61 (-25 + 5y) + 8(y + 1) = 61 Reorder the terms: -25 + 5y + 8(1 + y) = 61 -25 + 5y + (1 * 8 + y * 8) = 61 -25 + 5y + (8 + 8y) = 61 Reorder the terms: -25 + 8 + 5y + 8y = 61 Combine like terms: -25 + 8 = -17 -17 + 5y + 8y = 61 Combine like terms: 5y + 8y = 13y -17 + 13y = 61 Solving -17 + 13y = 61 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 13y = 61 + 17 Combine like terms: -17 + 17 = 0 0 + 13y = 61 + 17 13y = 61 + 17 Combine like terms: 61 + 17 = 78 13y = 78 Divide each side by '13'. y = 6 Simplifying y = 6
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