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Simplifying -2(3y + -4) + -1y = -3(y + -2) Reorder the terms: -2(-4 + 3y) + -1y = -3(y + -2) (-4 * -2 + 3y * -2) + -1y = -3(y + -2) (8 + -6y) + -1y = -3(y + -2) Combine like terms: -6y + -1y = -7y 8 + -7y = -3(y + -2) Reorder the terms: 8 + -7y = -3(-2 + y) 8 + -7y = (-2 * -3 + y * -3) 8 + -7y = (6 + -3y) Solving 8 + -7y = 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. 8 + -7y + 3y = 6 + -3y + 3y Combine like terms: -7y + 3y = -4y 8 + -4y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 8 + -4y = 6 + 0 8 + -4y = 6 Add '-8' to each side of the equation. 8 + -8 + -4y = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -4y = 6 + -8 -4y = 6 + -8 Combine like terms: 6 + -8 = -2 -4y = -2 Divide each side by '-4'. y = 0.5 Simplifying y = 0.5
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