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Simplifying 4(y + 5) = -6(2y + -1) + 4y Reorder the terms: 4(5 + y) = -6(2y + -1) + 4y (5 * 4 + y * 4) = -6(2y + -1) + 4y (20 + 4y) = -6(2y + -1) + 4y Reorder the terms: 20 + 4y = -6(-1 + 2y) + 4y 20 + 4y = (-1 * -6 + 2y * -6) + 4y 20 + 4y = (6 + -12y) + 4y Combine like terms: -12y + 4y = -8y 20 + 4y = 6 + -8y Solving 20 + 4y = 6 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 20 + 4y + 8y = 6 + -8y + 8y Combine like terms: 4y + 8y = 12y 20 + 12y = 6 + -8y + 8y Combine like terms: -8y + 8y = 0 20 + 12y = 6 + 0 20 + 12y = 6 Add '-20' to each side of the equation. 20 + -20 + 12y = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 12y = 6 + -20 12y = 6 + -20 Combine like terms: 6 + -20 = -14 12y = -14 Divide each side by '12'. y = -1.166666667 Simplifying y = -1.166666667
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