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Simplifying 4(y + 3) = -3(7y + -9) + 7y Reorder the terms: 4(3 + y) = -3(7y + -9) + 7y (3 * 4 + y * 4) = -3(7y + -9) + 7y (12 + 4y) = -3(7y + -9) + 7y Reorder the terms: 12 + 4y = -3(-9 + 7y) + 7y 12 + 4y = (-9 * -3 + 7y * -3) + 7y 12 + 4y = (27 + -21y) + 7y Combine like terms: -21y + 7y = -14y 12 + 4y = 27 + -14y Solving 12 + 4y = 27 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. 12 + 4y + 14y = 27 + -14y + 14y Combine like terms: 4y + 14y = 18y 12 + 18y = 27 + -14y + 14y Combine like terms: -14y + 14y = 0 12 + 18y = 27 + 0 12 + 18y = 27 Add '-12' to each side of the equation. 12 + -12 + 18y = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 18y = 27 + -12 18y = 27 + -12 Combine like terms: 27 + -12 = 15 18y = 15 Divide each side by '18'. y = 0.8333333333 Simplifying y = 0.8333333333
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