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Simplifying 4(5 + -7) = 8(3 + -1y) Combine like terms: 5 + -7 = -2 4(-2) = 8(3 + -1y) Multiply 4 * -2 -8 = 8(3 + -1y) -8 = (3 * 8 + -1y * 8) -8 = (24 + -8y) Solving -8 = 24 + -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. -8 + 8y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 -8 + 8y = 24 + 0 -8 + 8y = 24 Add '8' to each side of the equation. -8 + 8 + 8y = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 8y = 24 + 8 8y = 24 + 8 Combine like terms: 24 + 8 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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