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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 = -9y 4 + -23y = -8 + -9y Solving 4 + -23y = -8 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 4 + -23y + 9y = -8 + -9y + 9y Combine like terms: -23y + 9y = -14y 4 + -14y = -8 + -9y + 9y Combine like terms: -9y + 9y = 0 4 + -14y = -8 + 0 4 + -14y = -8 Add '-4' to each side of the equation. 4 + -4 + -14y = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -14y = -8 + -4 -14y = -8 + -4 Combine like terms: -8 + -4 = -12 -14y = -12 Divide each side by '-14'. y = 0.8571428571 Simplifying y = 0.8571428571
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