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Simplifying 2(3y + 5) = 1 + -3(2y + 5) Reorder the terms: 2(5 + 3y) = 1 + -3(2y + 5) (5 * 2 + 3y * 2) = 1 + -3(2y + 5) (10 + 6y) = 1 + -3(2y + 5) Reorder the terms: 10 + 6y = 1 + -3(5 + 2y) 10 + 6y = 1 + (5 * -3 + 2y * -3) 10 + 6y = 1 + (-15 + -6y) Combine like terms: 1 + -15 = -14 10 + 6y = -14 + -6y Solving 10 + 6y = -14 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 10 + 6y + 6y = -14 + -6y + 6y Combine like terms: 6y + 6y = 12y 10 + 12y = -14 + -6y + 6y Combine like terms: -6y + 6y = 0 10 + 12y = -14 + 0 10 + 12y = -14 Add '-10' to each side of the equation. 10 + -10 + 12y = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 12y = -14 + -10 12y = -14 + -10 Combine like terms: -14 + -10 = -24 12y = -24 Divide each side by '12'. y = -2 Simplifying y = -2
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