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Simplifying 5 + 8(y + -4) = 5(y + 2) + -1y Reorder the terms: 5 + 8(-4 + y) = 5(y + 2) + -1y 5 + (-4 * 8 + y * 8) = 5(y + 2) + -1y 5 + (-32 + 8y) = 5(y + 2) + -1y Combine like terms: 5 + -32 = -27 -27 + 8y = 5(y + 2) + -1y Reorder the terms: -27 + 8y = 5(2 + y) + -1y -27 + 8y = (2 * 5 + y * 5) + -1y -27 + 8y = (10 + 5y) + -1y Combine like terms: 5y + -1y = 4y -27 + 8y = 10 + 4y Solving -27 + 8y = 10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -27 + 8y + -4y = 10 + 4y + -4y Combine like terms: 8y + -4y = 4y -27 + 4y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -27 + 4y = 10 + 0 -27 + 4y = 10 Add '27' to each side of the equation. -27 + 27 + 4y = 10 + 27 Combine like terms: -27 + 27 = 0 0 + 4y = 10 + 27 4y = 10 + 27 Combine like terms: 10 + 27 = 37 4y = 37 Divide each side by '4'. y = 9.25 Simplifying y = 9.25
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