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Simplifying 42 + 9y = 2(5y + 9) + 2(3y + 5) Reorder the terms: 42 + 9y = 2(9 + 5y) + 2(3y + 5) 42 + 9y = (9 * 2 + 5y * 2) + 2(3y + 5) 42 + 9y = (18 + 10y) + 2(3y + 5) Reorder the terms: 42 + 9y = 18 + 10y + 2(5 + 3y) 42 + 9y = 18 + 10y + (5 * 2 + 3y * 2) 42 + 9y = 18 + 10y + (10 + 6y) Reorder the terms: 42 + 9y = 18 + 10 + 10y + 6y Combine like terms: 18 + 10 = 28 42 + 9y = 28 + 10y + 6y Combine like terms: 10y + 6y = 16y 42 + 9y = 28 + 16y Solving 42 + 9y = 28 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 42 + 9y + -16y = 28 + 16y + -16y Combine like terms: 9y + -16y = -7y 42 + -7y = 28 + 16y + -16y Combine like terms: 16y + -16y = 0 42 + -7y = 28 + 0 42 + -7y = 28 Add '-42' to each side of the equation. 42 + -42 + -7y = 28 + -42 Combine like terms: 42 + -42 = 0 0 + -7y = 28 + -42 -7y = 28 + -42 Combine like terms: 28 + -42 = -14 -7y = -14 Divide each side by '-7'. y = 2 Simplifying y = 2
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