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Simplifying 5y + 3(y + -9) = 4(y + 1) + -2 Reorder the terms: 5y + 3(-9 + y) = 4(y + 1) + -2 5y + (-9 * 3 + y * 3) = 4(y + 1) + -2 5y + (-27 + 3y) = 4(y + 1) + -2 Reorder the terms: -27 + 5y + 3y = 4(y + 1) + -2 Combine like terms: 5y + 3y = 8y -27 + 8y = 4(y + 1) + -2 Reorder the terms: -27 + 8y = 4(1 + y) + -2 -27 + 8y = (1 * 4 + y * 4) + -2 -27 + 8y = (4 + 4y) + -2 Reorder the terms: -27 + 8y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -27 + 8y = 2 + 4y Solving -27 + 8y = 2 + 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 = 2 + 4y + -4y Combine like terms: 8y + -4y = 4y -27 + 4y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -27 + 4y = 2 + 0 -27 + 4y = 2 Add '27' to each side of the equation. -27 + 27 + 4y = 2 + 27 Combine like terms: -27 + 27 = 0 0 + 4y = 2 + 27 4y = 2 + 27 Combine like terms: 2 + 27 = 29 4y = 29 Divide each side by '4'. y = 7.25 Simplifying y = 7.25
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