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Simplifying -2(5y + -6) + -1y = -2(y + -3) Reorder the terms: -2(-6 + 5y) + -1y = -2(y + -3) (-6 * -2 + 5y * -2) + -1y = -2(y + -3) (12 + -10y) + -1y = -2(y + -3) Combine like terms: -10y + -1y = -11y 12 + -11y = -2(y + -3) Reorder the terms: 12 + -11y = -2(-3 + y) 12 + -11y = (-3 * -2 + y * -2) 12 + -11y = (6 + -2y) Solving 12 + -11y = 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. 12 + -11y + 2y = 6 + -2y + 2y Combine like terms: -11y + 2y = -9y 12 + -9y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + -9y = 6 + 0 12 + -9y = 6 Add '-12' to each side of the equation. 12 + -12 + -9y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -9y = 6 + -12 -9y = 6 + -12 Combine like terms: 6 + -12 = -6 -9y = -6 Divide each side by '-9'. y = 0.6666666667 Simplifying y = 0.6666666667
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