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Simplifying -4(7y + -1) + 5y = 2(3y + 4) + -3y Reorder the terms: -4(-1 + 7y) + 5y = 2(3y + 4) + -3y (-1 * -4 + 7y * -4) + 5y = 2(3y + 4) + -3y (4 + -28y) + 5y = 2(3y + 4) + -3y Combine like terms: -28y + 5y = -23y 4 + -23y = 2(3y + 4) + -3y Reorder the terms: 4 + -23y = 2(4 + 3y) + -3y 4 + -23y = (4 * 2 + 3y * 2) + -3y 4 + -23y = (8 + 6y) + -3y Combine like terms: 6y + -3y = 3y 4 + -23y = 8 + 3y Solving 4 + -23y = 8 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 4 + -23y + -3y = 8 + 3y + -3y Combine like terms: -23y + -3y = -26y 4 + -26y = 8 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + -26y = 8 + 0 4 + -26y = 8 Add '-4' to each side of the equation. 4 + -4 + -26y = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -26y = 8 + -4 -26y = 8 + -4 Combine like terms: 8 + -4 = 4 -26y = 4 Divide each side by '-26'. y = -0.1538461538 Simplifying y = -0.1538461538
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