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Simplifying -2(4y + -3) + -1y = -3(y + -3) Reorder the terms: -2(-3 + 4y) + -1y = -3(y + -3) (-3 * -2 + 4y * -2) + -1y = -3(y + -3) (6 + -8y) + -1y = -3(y + -3) Combine like terms: -8y + -1y = -9y 6 + -9y = -3(y + -3) Reorder the terms: 6 + -9y = -3(-3 + y) 6 + -9y = (-3 * -3 + y * -3) 6 + -9y = (9 + -3y) Solving 6 + -9y = 9 + -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. 6 + -9y + 3y = 9 + -3y + 3y Combine like terms: -9y + 3y = -6y 6 + -6y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 6 + -6y = 9 + 0 6 + -6y = 9 Add '-6' to each side of the equation. 6 + -6 + -6y = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -6y = 9 + -6 -6y = 9 + -6 Combine like terms: 9 + -6 = 3 -6y = 3 Divide each side by '-6'. y = -0.5 Simplifying y = -0.5
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