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Simplifying 17y + -9(12 + 2y) = 3(y + 22) + (45 + -1y) 17y + (12 * -9 + 2y * -9) = 3(y + 22) + (45 + -1y) 17y + (-108 + -18y) = 3(y + 22) + (45 + -1y) Reorder the terms: -108 + 17y + -18y = 3(y + 22) + (45 + -1y) Combine like terms: 17y + -18y = -1y -108 + -1y = 3(y + 22) + (45 + -1y) Reorder the terms: -108 + -1y = 3(22 + y) + (45 + -1y) -108 + -1y = (22 * 3 + y * 3) + (45 + -1y) -108 + -1y = (66 + 3y) + (45 + -1y) Remove parenthesis around (45 + -1y) -108 + -1y = 66 + 3y + 45 + -1y Reorder the terms: -108 + -1y = 66 + 45 + 3y + -1y Combine like terms: 66 + 45 = 111 -108 + -1y = 111 + 3y + -1y Combine like terms: 3y + -1y = 2y -108 + -1y = 111 + 2y Solving -108 + -1y = 111 + 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. -108 + -1y + -2y = 111 + 2y + -2y Combine like terms: -1y + -2y = -3y -108 + -3y = 111 + 2y + -2y Combine like terms: 2y + -2y = 0 -108 + -3y = 111 + 0 -108 + -3y = 111 Add '108' to each side of the equation. -108 + 108 + -3y = 111 + 108 Combine like terms: -108 + 108 = 0 0 + -3y = 111 + 108 -3y = 111 + 108 Combine like terms: 111 + 108 = 219 -3y = 219 Divide each side by '-3'. y = -73 Simplifying y = -73
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