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Simplifying 8 + 2(4y + -3) = -2(8y + -6) + 9y Reorder the terms: 8 + 2(-3 + 4y) = -2(8y + -6) + 9y 8 + (-3 * 2 + 4y * 2) = -2(8y + -6) + 9y 8 + (-6 + 8y) = -2(8y + -6) + 9y Combine like terms: 8 + -6 = 2 2 + 8y = -2(8y + -6) + 9y Reorder the terms: 2 + 8y = -2(-6 + 8y) + 9y 2 + 8y = (-6 * -2 + 8y * -2) + 9y 2 + 8y = (12 + -16y) + 9y Combine like terms: -16y + 9y = -7y 2 + 8y = 12 + -7y Solving 2 + 8y = 12 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 2 + 8y + 7y = 12 + -7y + 7y Combine like terms: 8y + 7y = 15y 2 + 15y = 12 + -7y + 7y Combine like terms: -7y + 7y = 0 2 + 15y = 12 + 0 2 + 15y = 12 Add '-2' to each side of the equation. 2 + -2 + 15y = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 15y = 12 + -2 15y = 12 + -2 Combine like terms: 12 + -2 = 10 15y = 10 Divide each side by '15'. y = 0.6666666667 Simplifying y = 0.6666666667
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