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Simplifying 8(4 + -1y) + y = 8 + y (4 * 8 + -1y * 8) + y = 8 + y (32 + -8y) + y = 8 + y Combine like terms: -8y + y = -7y 32 + -7y = 8 + y Solving 32 + -7y = 8 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 32 + -7y + -1y = 8 + y + -1y Combine like terms: -7y + -1y = -8y 32 + -8y = 8 + y + -1y Combine like terms: y + -1y = 0 32 + -8y = 8 + 0 32 + -8y = 8 Add '-32' to each side of the equation. 32 + -32 + -8y = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -8y = 8 + -32 -8y = 8 + -32 Combine like terms: 8 + -32 = -24 -8y = -24 Divide each side by '-8'. y = 3 Simplifying y = 3
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