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Simplifying 5(y + 4) = 3(y + -4) Reorder the terms: 5(4 + y) = 3(y + -4) (4 * 5 + y * 5) = 3(y + -4) (20 + 5y) = 3(y + -4) Reorder the terms: 20 + 5y = 3(-4 + y) 20 + 5y = (-4 * 3 + y * 3) 20 + 5y = (-12 + 3y) Solving 20 + 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. 20 + 5y + -3y = -12 + 3y + -3y Combine like terms: 5y + -3y = 2y 20 + 2y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 20 + 2y = -12 + 0 20 + 2y = -12 Add '-20' to each side of the equation. 20 + -20 + 2y = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 2y = -12 + -20 2y = -12 + -20 Combine like terms: -12 + -20 = -32 2y = -32 Divide each side by '2'. y = -16 Simplifying y = -16
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