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Simplifying -5(3y + -9) + -1y = -4(y + -4) Reorder the terms: -5(-9 + 3y) + -1y = -4(y + -4) (-9 * -5 + 3y * -5) + -1y = -4(y + -4) (45 + -15y) + -1y = -4(y + -4) Combine like terms: -15y + -1y = -16y 45 + -16y = -4(y + -4) Reorder the terms: 45 + -16y = -4(-4 + y) 45 + -16y = (-4 * -4 + y * -4) 45 + -16y = (16 + -4y) Solving 45 + -16y = 16 + -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 + -16y + 4y = 16 + -4y + 4y Combine like terms: -16y + 4y = -12y 45 + -12y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 45 + -12y = 16 + 0 45 + -12y = 16 Add '-45' to each side of the equation. 45 + -45 + -12y = 16 + -45 Combine like terms: 45 + -45 = 0 0 + -12y = 16 + -45 -12y = 16 + -45 Combine like terms: 16 + -45 = -29 -12y = -29 Divide each side by '-12'. y = 2.416666667 Simplifying y = 2.416666667
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