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Simplifying -2y + 32 = -4(y + -5) Reorder the terms: 32 + -2y = -4(y + -5) Reorder the terms: 32 + -2y = -4(-5 + y) 32 + -2y = (-5 * -4 + y * -4) 32 + -2y = (20 + -4y) Solving 32 + -2y = 20 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 32 + -2y + 4y = 20 + -4y + 4y Combine like terms: -2y + 4y = 2y 32 + 2y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 32 + 2y = 20 + 0 32 + 2y = 20 Add '-32' to each side of the equation. 32 + -32 + 2y = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 20 + -32 2y = 20 + -32 Combine like terms: 20 + -32 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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