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Simplifying -2(4y + -2) + -1y = -3(y + -2) Reorder the terms: -2(-2 + 4y) + -1y = -3(y + -2) (-2 * -2 + 4y * -2) + -1y = -3(y + -2) (4 + -8y) + -1y = -3(y + -2) Combine like terms: -8y + -1y = -9y 4 + -9y = -3(y + -2) Reorder the terms: 4 + -9y = -3(-2 + y) 4 + -9y = (-2 * -3 + y * -3) 4 + -9y = (6 + -3y) Solving 4 + -9y = 6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 4 + -9y + 3y = 6 + -3y + 3y Combine like terms: -9y + 3y = -6y 4 + -6y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 4 + -6y = 6 + 0 4 + -6y = 6 Add '-4' to each side of the equation. 4 + -4 + -6y = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -6y = 6 + -4 -6y = 6 + -4 Combine like terms: 6 + -4 = 2 -6y = 2 Divide each side by '-6'. y = -0.3333333333 Simplifying y = -0.3333333333
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