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Simplifying 5(y + 9) = 3(y + -4) Reorder the terms: 5(9 + y) = 3(y + -4) (9 * 5 + y * 5) = 3(y + -4) (45 + 5y) = 3(y + -4) Reorder the terms: 45 + 5y = 3(-4 + y) 45 + 5y = (-4 * 3 + y * 3) 45 + 5y = (-12 + 3y) Solving 45 + 5y = -12 + 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. 45 + 5y + -3y = -12 + 3y + -3y Combine like terms: 5y + -3y = 2y 45 + 2y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 45 + 2y = -12 + 0 45 + 2y = -12 Add '-45' to each side of the equation. 45 + -45 + 2y = -12 + -45 Combine like terms: 45 + -45 = 0 0 + 2y = -12 + -45 2y = -12 + -45 Combine like terms: -12 + -45 = -57 2y = -57 Divide each side by '2'. y = -28.5 Simplifying y = -28.5
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