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Simplifying -5(5y + -10) + -1y = -2(y + -3) Reorder the terms: -5(-10 + 5y) + -1y = -2(y + -3) (-10 * -5 + 5y * -5) + -1y = -2(y + -3) (50 + -25y) + -1y = -2(y + -3) Combine like terms: -25y + -1y = -26y 50 + -26y = -2(y + -3) Reorder the terms: 50 + -26y = -2(-3 + y) 50 + -26y = (-3 * -2 + y * -2) 50 + -26y = (6 + -2y) Solving 50 + -26y = 6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 50 + -26y + 2y = 6 + -2y + 2y Combine like terms: -26y + 2y = -24y 50 + -24y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 50 + -24y = 6 + 0 50 + -24y = 6 Add '-50' to each side of the equation. 50 + -50 + -24y = 6 + -50 Combine like terms: 50 + -50 = 0 0 + -24y = 6 + -50 -24y = 6 + -50 Combine like terms: 6 + -50 = -44 -24y = -44 Divide each side by '-24'. y = 1.833333333 Simplifying y = 1.833333333
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