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Simplifying -6y + 5(4y + -2) = 2 + 9(2 + -1y) Reorder the terms: -6y + 5(-2 + 4y) = 2 + 9(2 + -1y) -6y + (-2 * 5 + 4y * 5) = 2 + 9(2 + -1y) -6y + (-10 + 20y) = 2 + 9(2 + -1y) Reorder the terms: -10 + -6y + 20y = 2 + 9(2 + -1y) Combine like terms: -6y + 20y = 14y -10 + 14y = 2 + 9(2 + -1y) -10 + 14y = 2 + (2 * 9 + -1y * 9) -10 + 14y = 2 + (18 + -9y) Combine like terms: 2 + 18 = 20 -10 + 14y = 20 + -9y Solving -10 + 14y = 20 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -10 + 14y + 9y = 20 + -9y + 9y Combine like terms: 14y + 9y = 23y -10 + 23y = 20 + -9y + 9y Combine like terms: -9y + 9y = 0 -10 + 23y = 20 + 0 -10 + 23y = 20 Add '10' to each side of the equation. -10 + 10 + 23y = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 23y = 20 + 10 23y = 20 + 10 Combine like terms: 20 + 10 = 30 23y = 30 Divide each side by '23'. y = 1.304347826 Simplifying y = 1.304347826
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