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Simplifying -3(6y + -9) + -1y = -2(y + -2) Reorder the terms: -3(-9 + 6y) + -1y = -2(y + -2) (-9 * -3 + 6y * -3) + -1y = -2(y + -2) (27 + -18y) + -1y = -2(y + -2) Combine like terms: -18y + -1y = -19y 27 + -19y = -2(y + -2) Reorder the terms: 27 + -19y = -2(-2 + y) 27 + -19y = (-2 * -2 + y * -2) 27 + -19y = (4 + -2y) Solving 27 + -19y = 4 + -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. 27 + -19y + 2y = 4 + -2y + 2y Combine like terms: -19y + 2y = -17y 27 + -17y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 27 + -17y = 4 + 0 27 + -17y = 4 Add '-27' to each side of the equation. 27 + -27 + -17y = 4 + -27 Combine like terms: 27 + -27 = 0 0 + -17y = 4 + -27 -17y = 4 + -27 Combine like terms: 4 + -27 = -23 -17y = -23 Divide each side by '-17'. y = 1.352941176 Simplifying y = 1.352941176
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