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Simplifying 17y + -9(12 + 2y) = 3(y + 22) + 45y 17y + (12 * -9 + 2y * -9) = 3(y + 22) + 45y 17y + (-108 + -18y) = 3(y + 22) + 45y Reorder the terms: -108 + 17y + -18y = 3(y + 22) + 45y Combine like terms: 17y + -18y = -1y -108 + -1y = 3(y + 22) + 45y Reorder the terms: -108 + -1y = 3(22 + y) + 45y -108 + -1y = (22 * 3 + y * 3) + 45y -108 + -1y = (66 + 3y) + 45y Combine like terms: 3y + 45y = 48y -108 + -1y = 66 + 48y Solving -108 + -1y = 66 + 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. -108 + -1y + -48y = 66 + 48y + -48y Combine like terms: -1y + -48y = -49y -108 + -49y = 66 + 48y + -48y Combine like terms: 48y + -48y = 0 -108 + -49y = 66 + 0 -108 + -49y = 66 Add '108' to each side of the equation. -108 + 108 + -49y = 66 + 108 Combine like terms: -108 + 108 = 0 0 + -49y = 66 + 108 -49y = 66 + 108 Combine like terms: 66 + 108 = 174 -49y = 174 Divide each side by '-49'. y = -3.551020408 Simplifying y = -3.551020408
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