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Simplifying 48 = 2(9y + 9) + 1(5y + 7) Reorder the terms: 48 = 2(9 + 9y) + 1(5y + 7) 48 = (9 * 2 + 9y * 2) + 1(5y + 7) 48 = (18 + 18y) + 1(5y + 7) Reorder the terms: 48 = 18 + 18y + 1(7 + 5y) 48 = 18 + 18y + (7 * 1 + 5y * 1) 48 = 18 + 18y + (7 + 5y) Reorder the terms: 48 = 18 + 7 + 18y + 5y Combine like terms: 18 + 7 = 25 48 = 25 + 18y + 5y Combine like terms: 18y + 5y = 23y 48 = 25 + 23y Solving 48 = 25 + 23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23y' to each side of the equation. 48 + -23y = 25 + 23y + -23y Combine like terms: 23y + -23y = 0 48 + -23y = 25 + 0 48 + -23y = 25 Add '-48' to each side of the equation. 48 + -48 + -23y = 25 + -48 Combine like terms: 48 + -48 = 0 0 + -23y = 25 + -48 -23y = 25 + -48 Combine like terms: 25 + -48 = -23 -23y = -23 Divide each side by '-23'. y = 1 Simplifying y = 1
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