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Simplifying -2y + -5 = -3(y + -9) Reorder the terms: -5 + -2y = -3(y + -9) Reorder the terms: -5 + -2y = -3(-9 + y) -5 + -2y = (-9 * -3 + y * -3) -5 + -2y = (27 + -3y) Solving -5 + -2y = 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. -5 + -2y + 3y = 27 + -3y + 3y Combine like terms: -2y + 3y = 1y -5 + 1y = 27 + -3y + 3y Combine like terms: -3y + 3y = 0 -5 + 1y = 27 + 0 -5 + 1y = 27 Add '5' to each side of the equation. -5 + 5 + 1y = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 1y = 27 + 5 1y = 27 + 5 Combine like terms: 27 + 5 = 32 1y = 32 Divide each side by '1'. y = 32 Simplifying y = 32
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