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Simplifying 8y + 32 = -4(y + 7) Reorder the terms: 32 + 8y = -4(y + 7) Reorder the terms: 32 + 8y = -4(7 + y) 32 + 8y = (7 * -4 + y * -4) 32 + 8y = (-28 + -4y) Solving 32 + 8y = -28 + -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 + 8y + 4y = -28 + -4y + 4y Combine like terms: 8y + 4y = 12y 32 + 12y = -28 + -4y + 4y Combine like terms: -4y + 4y = 0 32 + 12y = -28 + 0 32 + 12y = -28 Add '-32' to each side of the equation. 32 + -32 + 12y = -28 + -32 Combine like terms: 32 + -32 = 0 0 + 12y = -28 + -32 12y = -28 + -32 Combine like terms: -28 + -32 = -60 12y = -60 Divide each side by '12'. y = -5 Simplifying y = -5
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