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Simplifying 4(y + 1) = -2(4y + -5) + 3y Reorder the terms: 4(1 + y) = -2(4y + -5) + 3y (1 * 4 + y * 4) = -2(4y + -5) + 3y (4 + 4y) = -2(4y + -5) + 3y Reorder the terms: 4 + 4y = -2(-5 + 4y) + 3y 4 + 4y = (-5 * -2 + 4y * -2) + 3y 4 + 4y = (10 + -8y) + 3y Combine like terms: -8y + 3y = -5y 4 + 4y = 10 + -5y Solving 4 + 4y = 10 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 4 + 4y + 5y = 10 + -5y + 5y Combine like terms: 4y + 5y = 9y 4 + 9y = 10 + -5y + 5y Combine like terms: -5y + 5y = 0 4 + 9y = 10 + 0 4 + 9y = 10 Add '-4' to each side of the equation. 4 + -4 + 9y = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 9y = 10 + -4 9y = 10 + -4 Combine like terms: 10 + -4 = 6 9y = 6 Divide each side by '9'. y = 0.6666666667 Simplifying y = 0.6666666667
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