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Simplifying -5(6y + -7) + -1y = -3(y + -3) Reorder the terms: -5(-7 + 6y) + -1y = -3(y + -3) (-7 * -5 + 6y * -5) + -1y = -3(y + -3) (35 + -30y) + -1y = -3(y + -3) Combine like terms: -30y + -1y = -31y 35 + -31y = -3(y + -3) Reorder the terms: 35 + -31y = -3(-3 + y) 35 + -31y = (-3 * -3 + y * -3) 35 + -31y = (9 + -3y) Solving 35 + -31y = 9 + -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. 35 + -31y + 3y = 9 + -3y + 3y Combine like terms: -31y + 3y = -28y 35 + -28y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 35 + -28y = 9 + 0 35 + -28y = 9 Add '-35' to each side of the equation. 35 + -35 + -28y = 9 + -35 Combine like terms: 35 + -35 = 0 0 + -28y = 9 + -35 -28y = 9 + -35 Combine like terms: 9 + -35 = -26 -28y = -26 Divide each side by '-28'. y = 0.9285714286 Simplifying y = 0.9285714286
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