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Simplifying -4(2y + -6) + -1y = -4(y + -3) Reorder the terms: -4(-6 + 2y) + -1y = -4(y + -3) (-6 * -4 + 2y * -4) + -1y = -4(y + -3) (24 + -8y) + -1y = -4(y + -3) Combine like terms: -8y + -1y = -9y 24 + -9y = -4(y + -3) Reorder the terms: 24 + -9y = -4(-3 + y) 24 + -9y = (-3 * -4 + y * -4) 24 + -9y = (12 + -4y) Solving 24 + -9y = 12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 24 + -9y + 4y = 12 + -4y + 4y Combine like terms: -9y + 4y = -5y 24 + -5y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 24 + -5y = 12 + 0 24 + -5y = 12 Add '-24' to each side of the equation. 24 + -24 + -5y = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -5y = 12 + -24 -5y = 12 + -24 Combine like terms: 12 + -24 = -12 -5y = -12 Divide each side by '-5'. y = 2.4 Simplifying y = 2.4
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