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Simplifying -3(4y + -3) + -1y = -2(y + -2) Reorder the terms: -3(-3 + 4y) + -1y = -2(y + -2) (-3 * -3 + 4y * -3) + -1y = -2(y + -2) (9 + -12y) + -1y = -2(y + -2) Combine like terms: -12y + -1y = -13y 9 + -13y = -2(y + -2) Reorder the terms: 9 + -13y = -2(-2 + y) 9 + -13y = (-2 * -2 + y * -2) 9 + -13y = (4 + -2y) Solving 9 + -13y = 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. 9 + -13y + 2y = 4 + -2y + 2y Combine like terms: -13y + 2y = -11y 9 + -11y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 9 + -11y = 4 + 0 9 + -11y = 4 Add '-9' to each side of the equation. 9 + -9 + -11y = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -11y = 4 + -9 -11y = 4 + -9 Combine like terms: 4 + -9 = -5 -11y = -5 Divide each side by '-11'. y = 0.4545454545 Simplifying y = 0.4545454545
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