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Simplifying 9y + -32 = -4(y + -5) Reorder the terms: -32 + 9y = -4(y + -5) Reorder the terms: -32 + 9y = -4(-5 + y) -32 + 9y = (-5 * -4 + y * -4) -32 + 9y = (20 + -4y) Solving -32 + 9y = 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 + 9y + 4y = 20 + -4y + 4y Combine like terms: 9y + 4y = 13y -32 + 13y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 -32 + 13y = 20 + 0 -32 + 13y = 20 Add '32' to each side of the equation. -32 + 32 + 13y = 20 + 32 Combine like terms: -32 + 32 = 0 0 + 13y = 20 + 32 13y = 20 + 32 Combine like terms: 20 + 32 = 52 13y = 52 Divide each side by '13'. y = 4 Simplifying y = 4
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