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Simplifying 5y + -29 = -3(y + -9) Reorder the terms: -29 + 5y = -3(y + -9) Reorder the terms: -29 + 5y = -3(-9 + y) -29 + 5y = (-9 * -3 + y * -3) -29 + 5y = (27 + -3y) Solving -29 + 5y = 27 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -29 + 5y + 3y = 27 + -3y + 3y Combine like terms: 5y + 3y = 8y -29 + 8y = 27 + -3y + 3y Combine like terms: -3y + 3y = 0 -29 + 8y = 27 + 0 -29 + 8y = 27 Add '29' to each side of the equation. -29 + 29 + 8y = 27 + 29 Combine like terms: -29 + 29 = 0 0 + 8y = 27 + 29 8y = 27 + 29 Combine like terms: 27 + 29 = 56 8y = 56 Divide each side by '8'. y = 7 Simplifying y = 7
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