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Simplifying 7(y + 3) = -3(3y + -5) + 7y Reorder the terms: 7(3 + y) = -3(3y + -5) + 7y (3 * 7 + y * 7) = -3(3y + -5) + 7y (21 + 7y) = -3(3y + -5) + 7y Reorder the terms: 21 + 7y = -3(-5 + 3y) + 7y 21 + 7y = (-5 * -3 + 3y * -3) + 7y 21 + 7y = (15 + -9y) + 7y Combine like terms: -9y + 7y = -2y 21 + 7y = 15 + -2y Solving 21 + 7y = 15 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 21 + 7y + 2y = 15 + -2y + 2y Combine like terms: 7y + 2y = 9y 21 + 9y = 15 + -2y + 2y Combine like terms: -2y + 2y = 0 21 + 9y = 15 + 0 21 + 9y = 15 Add '-21' to each side of the equation. 21 + -21 + 9y = 15 + -21 Combine like terms: 21 + -21 = 0 0 + 9y = 15 + -21 9y = 15 + -21 Combine like terms: 15 + -21 = -6 9y = -6 Divide each side by '9'. y = -0.6666666667 Simplifying y = -0.6666666667
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