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Simplifying 8(y + -4) = 8 + 7y Reorder the terms: 8(-4 + y) = 8 + 7y (-4 * 8 + y * 8) = 8 + 7y (-32 + 8y) = 8 + 7y Solving -32 + 8y = 8 + 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 = 8 + 7y + -7y Combine like terms: 8y + -7y = 1y -32 + 1y = 8 + 7y + -7y Combine like terms: 7y + -7y = 0 -32 + 1y = 8 + 0 -32 + 1y = 8 Add '32' to each side of the equation. -32 + 32 + 1y = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 1y = 8 + 32 1y = 8 + 32 Combine like terms: 8 + 32 = 40 1y = 40 Divide each side by '1'. y = 40 Simplifying y = 40
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