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Simplifying 5y + 7 = -8(y + 4) Reorder the terms: 7 + 5y = -8(y + 4) Reorder the terms: 7 + 5y = -8(4 + y) 7 + 5y = (4 * -8 + y * -8) 7 + 5y = (-32 + -8y) Solving 7 + 5y = -32 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 7 + 5y + 8y = -32 + -8y + 8y Combine like terms: 5y + 8y = 13y 7 + 13y = -32 + -8y + 8y Combine like terms: -8y + 8y = 0 7 + 13y = -32 + 0 7 + 13y = -32 Add '-7' to each side of the equation. 7 + -7 + 13y = -32 + -7 Combine like terms: 7 + -7 = 0 0 + 13y = -32 + -7 13y = -32 + -7 Combine like terms: -32 + -7 = -39 13y = -39 Divide each side by '13'. y = -3 Simplifying y = -3
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