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Simplifying 32 = -7y + 5(y + 4) Reorder the terms: 32 = -7y + 5(4 + y) 32 = -7y + (4 * 5 + y * 5) 32 = -7y + (20 + 5y) Reorder the terms: 32 = 20 + -7y + 5y Combine like terms: -7y + 5y = -2y 32 = 20 + -2y Solving 32 = 20 + -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. 32 + 2y = 20 + -2y + 2y Combine like terms: -2y + 2y = 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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