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Simplifying 4(y + 5) = -2(3y + -9) + 4y Reorder the terms: 4(5 + y) = -2(3y + -9) + 4y (5 * 4 + y * 4) = -2(3y + -9) + 4y (20 + 4y) = -2(3y + -9) + 4y Reorder the terms: 20 + 4y = -2(-9 + 3y) + 4y 20 + 4y = (-9 * -2 + 3y * -2) + 4y 20 + 4y = (18 + -6y) + 4y Combine like terms: -6y + 4y = -2y 20 + 4y = 18 + -2y Solving 20 + 4y = 18 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 20 + 4y + 2y = 18 + -2y + 2y Combine like terms: 4y + 2y = 6y 20 + 6y = 18 + -2y + 2y Combine like terms: -2y + 2y = 0 20 + 6y = 18 + 0 20 + 6y = 18 Add '-20' to each side of the equation. 20 + -20 + 6y = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 6y = 18 + -20 6y = 18 + -20 Combine like terms: 18 + -20 = -2 6y = -2 Divide each side by '6'. y = -0.3333333333 Simplifying y = -0.3333333333
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