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Simplifying -4(2y + -3) + -1y = -3(y + -2) Reorder the terms: -4(-3 + 2y) + -1y = -3(y + -2) (-3 * -4 + 2y * -4) + -1y = -3(y + -2) (12 + -8y) + -1y = -3(y + -2) Combine like terms: -8y + -1y = -9y 12 + -9y = -3(y + -2) Reorder the terms: 12 + -9y = -3(-2 + y) 12 + -9y = (-2 * -3 + y * -3) 12 + -9y = (6 + -3y) Solving 12 + -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. 12 + -9y + 3y = 6 + -3y + 3y Combine like terms: -9y + 3y = -6y 12 + -6y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + -6y = 6 + 0 12 + -6y = 6 Add '-12' to each side of the equation. 12 + -12 + -6y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = 6 + -12 -6y = 6 + -12 Combine like terms: 6 + -12 = -6 -6y = -6 Divide each side by '-6'. y = 1 Simplifying y = 1
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