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Simplifying 4(y + 7) = y + 4 Reorder the terms: 4(7 + y) = y + 4 (7 * 4 + y * 4) = y + 4 (28 + 4y) = y + 4 Reorder the terms: 28 + 4y = 4 + y Solving 28 + 4y = 4 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 28 + 4y + -1y = 4 + y + -1y Combine like terms: 4y + -1y = 3y 28 + 3y = 4 + y + -1y Combine like terms: y + -1y = 0 28 + 3y = 4 + 0 28 + 3y = 4 Add '-28' to each side of the equation. 28 + -28 + 3y = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 3y = 4 + -28 3y = 4 + -28 Combine like terms: 4 + -28 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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