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Simplifying 4 + -1y = 8(y + -4) Reorder the terms: 4 + -1y = 8(-4 + y) 4 + -1y = (-4 * 8 + y * 8) 4 + -1y = (-32 + 8y) Solving 4 + -1y = -32 + 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. 4 + -1y + -8y = -32 + 8y + -8y Combine like terms: -1y + -8y = -9y 4 + -9y = -32 + 8y + -8y Combine like terms: 8y + -8y = 0 4 + -9y = -32 + 0 4 + -9y = -32 Add '-4' to each side of the equation. 4 + -4 + -9y = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -9y = -32 + -4 -9y = -32 + -4 Combine like terms: -32 + -4 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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