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Simplifying -2(2y + -3) + -1y = -2(y + -4) Reorder the terms: -2(-3 + 2y) + -1y = -2(y + -4) (-3 * -2 + 2y * -2) + -1y = -2(y + -4) (6 + -4y) + -1y = -2(y + -4) Combine like terms: -4y + -1y = -5y 6 + -5y = -2(y + -4) Reorder the terms: 6 + -5y = -2(-4 + y) 6 + -5y = (-4 * -2 + y * -2) 6 + -5y = (8 + -2y) Solving 6 + -5y = 8 + -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. 6 + -5y + 2y = 8 + -2y + 2y Combine like terms: -5y + 2y = -3y 6 + -3y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 6 + -3y = 8 + 0 6 + -3y = 8 Add '-6' to each side of the equation. 6 + -6 + -3y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -3y = 8 + -6 -3y = 8 + -6 Combine like terms: 8 + -6 = 2 -3y = 2 Divide each side by '-3'. y = -0.6666666667 Simplifying y = -0.6666666667
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