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Simplifying 7(3y + 4) = y + 48 Reorder the terms: 7(4 + 3y) = y + 48 (4 * 7 + 3y * 7) = y + 48 (28 + 21y) = y + 48 Reorder the terms: 28 + 21y = 48 + y Solving 28 + 21y = 48 + 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 + 21y + -1y = 48 + y + -1y Combine like terms: 21y + -1y = 20y 28 + 20y = 48 + y + -1y Combine like terms: y + -1y = 0 28 + 20y = 48 + 0 28 + 20y = 48 Add '-28' to each side of the equation. 28 + -28 + 20y = 48 + -28 Combine like terms: 28 + -28 = 0 0 + 20y = 48 + -28 20y = 48 + -28 Combine like terms: 48 + -28 = 20 20y = 20 Divide each side by '20'. y = 1 Simplifying y = 1
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