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Simplifying -5(6y + -9) + -1y = -4(y + -3) Reorder the terms: -5(-9 + 6y) + -1y = -4(y + -3) (-9 * -5 + 6y * -5) + -1y = -4(y + -3) (45 + -30y) + -1y = -4(y + -3) Combine like terms: -30y + -1y = -31y 45 + -31y = -4(y + -3) Reorder the terms: 45 + -31y = -4(-3 + y) 45 + -31y = (-3 * -4 + y * -4) 45 + -31y = (12 + -4y) Solving 45 + -31y = 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. 45 + -31y + 4y = 12 + -4y + 4y Combine like terms: -31y + 4y = -27y 45 + -27y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 45 + -27y = 12 + 0 45 + -27y = 12 Add '-45' to each side of the equation. 45 + -45 + -27y = 12 + -45 Combine like terms: 45 + -45 = 0 0 + -27y = 12 + -45 -27y = 12 + -45 Combine like terms: 12 + -45 = -33 -27y = -33 Divide each side by '-27'. y = 1.222222222 Simplifying y = 1.222222222
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