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Simplifying -5 = 3(y + -9) + -1(y + 4) Reorder the terms: -5 = 3(-9 + y) + -1(y + 4) -5 = (-9 * 3 + y * 3) + -1(y + 4) -5 = (-27 + 3y) + -1(y + 4) Reorder the terms: -5 = -27 + 3y + -1(4 + y) -5 = -27 + 3y + (4 * -1 + y * -1) -5 = -27 + 3y + (-4 + -1y) Reorder the terms: -5 = -27 + -4 + 3y + -1y Combine like terms: -27 + -4 = -31 -5 = -31 + 3y + -1y Combine like terms: 3y + -1y = 2y -5 = -31 + 2y Solving -5 = -31 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -5 + -2y = -31 + 2y + -2y Combine like terms: 2y + -2y = 0 -5 + -2y = -31 + 0 -5 + -2y = -31 Add '5' to each side of the equation. -5 + 5 + -2y = -31 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = -31 + 5 -2y = -31 + 5 Combine like terms: -31 + 5 = -26 -2y = -26 Divide each side by '-2'. y = 13 Simplifying y = 13
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