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Simplifying 7 + -2(6 + -1y) = 2y + -1(3 + -9y) 7 + (6 * -2 + -1y * -2) = 2y + -1(3 + -9y) 7 + (-12 + 2y) = 2y + -1(3 + -9y) Combine like terms: 7 + -12 = -5 -5 + 2y = 2y + -1(3 + -9y) -5 + 2y = 2y + (3 * -1 + -9y * -1) -5 + 2y = 2y + (-3 + 9y) Reorder the terms: -5 + 2y = -3 + 2y + 9y Combine like terms: 2y + 9y = 11y -5 + 2y = -3 + 11y Solving -5 + 2y = -3 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -5 + 2y + -11y = -3 + 11y + -11y Combine like terms: 2y + -11y = -9y -5 + -9y = -3 + 11y + -11y Combine like terms: 11y + -11y = 0 -5 + -9y = -3 + 0 -5 + -9y = -3 Add '5' to each side of the equation. -5 + 5 + -9y = -3 + 5 Combine like terms: -5 + 5 = 0 0 + -9y = -3 + 5 -9y = -3 + 5 Combine like terms: -3 + 5 = 2 -9y = 2 Divide each side by '-9'. y = -0.2222222222 Simplifying y = -0.2222222222
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