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Simplifying -5(2y + -10) + -1y = -2(y + -4) Reorder the terms: -5(-10 + 2y) + -1y = -2(y + -4) (-10 * -5 + 2y * -5) + -1y = -2(y + -4) (50 + -10y) + -1y = -2(y + -4) Combine like terms: -10y + -1y = -11y 50 + -11y = -2(y + -4) Reorder the terms: 50 + -11y = -2(-4 + y) 50 + -11y = (-4 * -2 + y * -2) 50 + -11y = (8 + -2y) Solving 50 + -11y = 8 + -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 + -11y + 2y = 8 + -2y + 2y Combine like terms: -11y + 2y = -9y 50 + -9y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 50 + -9y = 8 + 0 50 + -9y = 8 Add '-50' to each side of the equation. 50 + -50 + -9y = 8 + -50 Combine like terms: 50 + -50 = 0 0 + -9y = 8 + -50 -9y = 8 + -50 Combine like terms: 8 + -50 = -42 -9y = -42 Divide each side by '-9'. y = 4.666666667 Simplifying y = 4.666666667
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