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Simplifying 8(y + -4) = 7(1 + y) Reorder the terms: 8(-4 + y) = 7(1 + y) (-4 * 8 + y * 8) = 7(1 + y) (-32 + 8y) = 7(1 + y) -32 + 8y = (1 * 7 + y * 7) -32 + 8y = (7 + 7y) Solving -32 + 8y = 7 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -32 + 8y + -7y = 7 + 7y + -7y Combine like terms: 8y + -7y = 1y -32 + 1y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 -32 + 1y = 7 + 0 -32 + 1y = 7 Add '32' to each side of the equation. -32 + 32 + 1y = 7 + 32 Combine like terms: -32 + 32 = 0 0 + 1y = 7 + 32 1y = 7 + 32 Combine like terms: 7 + 32 = 39 1y = 39 Divide each side by '1'. y = 39 Simplifying y = 39
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