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Simplifying -32 = 8(y + 7) Reorder the terms: -32 = 8(7 + y) -32 = (7 * 8 + y * 8) -32 = (56 + 8y) Solving -32 = 56 + 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. -32 + -8y = 56 + 8y + -8y Combine like terms: 8y + -8y = 0 -32 + -8y = 56 + 0 -32 + -8y = 56 Add '32' to each side of the equation. -32 + 32 + -8y = 56 + 32 Combine like terms: -32 + 32 = 0 0 + -8y = 56 + 32 -8y = 56 + 32 Combine like terms: 56 + 32 = 88 -8y = 88 Divide each side by '-8'. y = -11 Simplifying y = -11
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