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Simplifying 8(y + -4) + 5(y + 1) = 90 Reorder the terms: 8(-4 + y) + 5(y + 1) = 90 (-4 * 8 + y * 8) + 5(y + 1) = 90 (-32 + 8y) + 5(y + 1) = 90 Reorder the terms: -32 + 8y + 5(1 + y) = 90 -32 + 8y + (1 * 5 + y * 5) = 90 -32 + 8y + (5 + 5y) = 90 Reorder the terms: -32 + 5 + 8y + 5y = 90 Combine like terms: -32 + 5 = -27 -27 + 8y + 5y = 90 Combine like terms: 8y + 5y = 13y -27 + 13y = 90 Solving -27 + 13y = 90 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 13y = 90 + 27 Combine like terms: -27 + 27 = 0 0 + 13y = 90 + 27 13y = 90 + 27 Combine like terms: 90 + 27 = 117 13y = 117 Divide each side by '13'. y = 9 Simplifying y = 9
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