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Simplifying 2 + (12y + 15) = y + -1(5y + -31) Reorder the terms: 2 + (15 + 12y) = y + -1(5y + -31) Remove parenthesis around (15 + 12y) 2 + 15 + 12y = y + -1(5y + -31) Combine like terms: 2 + 15 = 17 17 + 12y = y + -1(5y + -31) Reorder the terms: 17 + 12y = y + -1(-31 + 5y) 17 + 12y = y + (-31 * -1 + 5y * -1) 17 + 12y = y + (31 + -5y) Reorder the terms: 17 + 12y = 31 + y + -5y Combine like terms: y + -5y = -4y 17 + 12y = 31 + -4y Solving 17 + 12y = 31 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 17 + 12y + 4y = 31 + -4y + 4y Combine like terms: 12y + 4y = 16y 17 + 16y = 31 + -4y + 4y Combine like terms: -4y + 4y = 0 17 + 16y = 31 + 0 17 + 16y = 31 Add '-17' to each side of the equation. 17 + -17 + 16y = 31 + -17 Combine like terms: 17 + -17 = 0 0 + 16y = 31 + -17 16y = 31 + -17 Combine like terms: 31 + -17 = 14 16y = 14 Divide each side by '16'. y = 0.875 Simplifying y = 0.875
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