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