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Simplifying 3(y + 6) + -5(2y + -3) = 4 + 7y Reorder the terms: 3(6 + y) + -5(2y + -3) = 4 + 7y (6 * 3 + y * 3) + -5(2y + -3) = 4 + 7y (18 + 3y) + -5(2y + -3) = 4 + 7y Reorder the terms: 18 + 3y + -5(-3 + 2y) = 4 + 7y 18 + 3y + (-3 * -5 + 2y * -5) = 4 + 7y 18 + 3y + (15 + -10y) = 4 + 7y Reorder the terms: 18 + 15 + 3y + -10y = 4 + 7y Combine like terms: 18 + 15 = 33 33 + 3y + -10y = 4 + 7y Combine like terms: 3y + -10y = -7y 33 + -7y = 4 + 7y Solving 33 + -7y = 4 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 33 + -7y + -7y = 4 + 7y + -7y Combine like terms: -7y + -7y = -14y 33 + -14y = 4 + 7y + -7y Combine like terms: 7y + -7y = 0 33 + -14y = 4 + 0 33 + -14y = 4 Add '-33' to each side of the equation. 33 + -33 + -14y = 4 + -33 Combine like terms: 33 + -33 = 0 0 + -14y = 4 + -33 -14y = 4 + -33 Combine like terms: 4 + -33 = -29 -14y = -29 Divide each side by '-14'. y = 2.071428571 Simplifying y = 2.071428571
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