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Simplifying -5(2y + -6) + -1y = -2(y + -2) Reorder the terms: -5(-6 + 2y) + -1y = -2(y + -2) (-6 * -5 + 2y * -5) + -1y = -2(y + -2) (30 + -10y) + -1y = -2(y + -2) Combine like terms: -10y + -1y = -11y 30 + -11y = -2(y + -2) Reorder the terms: 30 + -11y = -2(-2 + y) 30 + -11y = (-2 * -2 + y * -2) 30 + -11y = (4 + -2y) Solving 30 + -11y = 4 + -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. 30 + -11y + 2y = 4 + -2y + 2y Combine like terms: -11y + 2y = -9y 30 + -9y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + -9y = 4 + 0 30 + -9y = 4 Add '-30' to each side of the equation. 30 + -30 + -9y = 4 + -30 Combine like terms: 30 + -30 = 0 0 + -9y = 4 + -30 -9y = 4 + -30 Combine like terms: 4 + -30 = -26 -9y = -26 Divide each side by '-9'. y = 2.888888889 Simplifying y = 2.888888889
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