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Simplifying -32 = 8(y + 3) Reorder the terms: -32 = 8(3 + y) -32 = (3 * 8 + y * 8) -32 = (24 + 8y) Solving -32 = 24 + 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 = 24 + 8y + -8y Combine like terms: 8y + -8y = 0 -32 + -8y = 24 + 0 -32 + -8y = 24 Add '32' to each side of the equation. -32 + 32 + -8y = 24 + 32 Combine like terms: -32 + 32 = 0 0 + -8y = 24 + 32 -8y = 24 + 32 Combine like terms: 24 + 32 = 56 -8y = 56 Divide each side by '-8'. y = -7 Simplifying y = -7
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