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Simplifying 9 + 2(2y + -2) = -3(6y + -3) + 8y Reorder the terms: 9 + 2(-2 + 2y) = -3(6y + -3) + 8y 9 + (-2 * 2 + 2y * 2) = -3(6y + -3) + 8y 9 + (-4 + 4y) = -3(6y + -3) + 8y Combine like terms: 9 + -4 = 5 5 + 4y = -3(6y + -3) + 8y Reorder the terms: 5 + 4y = -3(-3 + 6y) + 8y 5 + 4y = (-3 * -3 + 6y * -3) + 8y 5 + 4y = (9 + -18y) + 8y Combine like terms: -18y + 8y = -10y 5 + 4y = 9 + -10y Solving 5 + 4y = 9 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 5 + 4y + 10y = 9 + -10y + 10y Combine like terms: 4y + 10y = 14y 5 + 14y = 9 + -10y + 10y Combine like terms: -10y + 10y = 0 5 + 14y = 9 + 0 5 + 14y = 9 Add '-5' to each side of the equation. 5 + -5 + 14y = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 14y = 9 + -5 14y = 9 + -5 Combine like terms: 9 + -5 = 4 14y = 4 Divide each side by '14'. y = 0.2857142857 Simplifying y = 0.2857142857
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