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Simplifying 4(y + 7) = 8y + 40 Reorder the terms: 4(7 + y) = 8y + 40 (7 * 4 + y * 4) = 8y + 40 (28 + 4y) = 8y + 40 Reorder the terms: 28 + 4y = 40 + 8y Solving 28 + 4y = 40 + 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. 28 + 4y + -8y = 40 + 8y + -8y Combine like terms: 4y + -8y = -4y 28 + -4y = 40 + 8y + -8y Combine like terms: 8y + -8y = 0 28 + -4y = 40 + 0 28 + -4y = 40 Add '-28' to each side of the equation. 28 + -28 + -4y = 40 + -28 Combine like terms: 28 + -28 = 0 0 + -4y = 40 + -28 -4y = 40 + -28 Combine like terms: 40 + -28 = 12 -4y = 12 Divide each side by '-4'. y = -3 Simplifying y = -3
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