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