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Simplifying 8 + 5(3y + -1) = -4(2y + -2) + 8y Reorder the terms: 8 + 5(-1 + 3y) = -4(2y + -2) + 8y 8 + (-1 * 5 + 3y * 5) = -4(2y + -2) + 8y 8 + (-5 + 15y) = -4(2y + -2) + 8y Combine like terms: 8 + -5 = 3 3 + 15y = -4(2y + -2) + 8y Reorder the terms: 3 + 15y = -4(-2 + 2y) + 8y 3 + 15y = (-2 * -4 + 2y * -4) + 8y 3 + 15y = (8 + -8y) + 8y Combine like terms: -8y + 8y = 0 3 + 15y = 8 + 0 3 + 15y = 8 Solving 3 + 15y = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 15y = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 15y = 8 + -3 15y = 8 + -3 Combine like terms: 8 + -3 = 5 15y = 5 Divide each side by '15'. y = 0.3333333333 Simplifying y = 0.3333333333
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