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Simplifying 32 = -7 + 8(y + 6) Reorder the terms: 32 = -7 + 8(6 + y) 32 = -7 + (6 * 8 + y * 8) 32 = -7 + (48 + 8y) Combine like terms: -7 + 48 = 41 32 = 41 + 8y Solving 32 = 41 + 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 = 41 + 8y + -8y Combine like terms: 8y + -8y = 0 32 + -8y = 41 + 0 32 + -8y = 41 Add '-32' to each side of the equation. 32 + -32 + -8y = 41 + -32 Combine like terms: 32 + -32 = 0 0 + -8y = 41 + -32 -8y = 41 + -32 Combine like terms: 41 + -32 = 9 -8y = 9 Divide each side by '-8'. y = -1.125 Simplifying y = -1.125
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