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Simplifying 3(2y + 1) + 25 = 42 + -2(y + 7) Reorder the terms: 3(1 + 2y) + 25 = 42 + -2(y + 7) (1 * 3 + 2y * 3) + 25 = 42 + -2(y + 7) (3 + 6y) + 25 = 42 + -2(y + 7) Reorder the terms: 3 + 25 + 6y = 42 + -2(y + 7) Combine like terms: 3 + 25 = 28 28 + 6y = 42 + -2(y + 7) Reorder the terms: 28 + 6y = 42 + -2(7 + y) 28 + 6y = 42 + (7 * -2 + y * -2) 28 + 6y = 42 + (-14 + -2y) Combine like terms: 42 + -14 = 28 28 + 6y = 28 + -2y Add '-28' to each side of the equation. 28 + -28 + 6y = 28 + -28 + -2y Combine like terms: 28 + -28 = 0 0 + 6y = 28 + -28 + -2y 6y = 28 + -28 + -2y Combine like terms: 28 + -28 = 0 6y = 0 + -2y 6y = -2y Solving 6y = -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 6y + 2y = -2y + 2y Combine like terms: 6y + 2y = 8y 8y = -2y + 2y Combine like terms: -2y + 2y = 0 8y = 0 Divide each side by '8'. y = 0 Simplifying y = 0
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