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Simplifying -3(3y + -9) + -1y = -4(y + -5) Reorder the terms: -3(-9 + 3y) + -1y = -4(y + -5) (-9 * -3 + 3y * -3) + -1y = -4(y + -5) (27 + -9y) + -1y = -4(y + -5) Combine like terms: -9y + -1y = -10y 27 + -10y = -4(y + -5) Reorder the terms: 27 + -10y = -4(-5 + y) 27 + -10y = (-5 * -4 + y * -4) 27 + -10y = (20 + -4y) Solving 27 + -10y = 20 + -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. 27 + -10y + 4y = 20 + -4y + 4y Combine like terms: -10y + 4y = -6y 27 + -6y = 20 + -4y + 4y Combine like terms: -4y + 4y = 0 27 + -6y = 20 + 0 27 + -6y = 20 Add '-27' to each side of the equation. 27 + -27 + -6y = 20 + -27 Combine like terms: 27 + -27 = 0 0 + -6y = 20 + -27 -6y = 20 + -27 Combine like terms: 20 + -27 = -7 -6y = -7 Divide each side by '-6'. y = 1.166666667 Simplifying y = 1.166666667
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