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Simplifying 5(y + -5) + 3(y + 3) = 40 Reorder the terms: 5(-5 + y) + 3(y + 3) = 40 (-5 * 5 + y * 5) + 3(y + 3) = 40 (-25 + 5y) + 3(y + 3) = 40 Reorder the terms: -25 + 5y + 3(3 + y) = 40 -25 + 5y + (3 * 3 + y * 3) = 40 -25 + 5y + (9 + 3y) = 40 Reorder the terms: -25 + 9 + 5y + 3y = 40 Combine like terms: -25 + 9 = -16 -16 + 5y + 3y = 40 Combine like terms: 5y + 3y = 8y -16 + 8y = 40 Solving -16 + 8y = 40 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8y = 40 + 16 Combine like terms: -16 + 16 = 0 0 + 8y = 40 + 16 8y = 40 + 16 Combine like terms: 40 + 16 = 56 8y = 56 Divide each side by '8'. y = 7 Simplifying y = 7
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