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Simplifying 7(y + 2) = -6(2y + -4) + 5y Reorder the terms: 7(2 + y) = -6(2y + -4) + 5y (2 * 7 + y * 7) = -6(2y + -4) + 5y (14 + 7y) = -6(2y + -4) + 5y Reorder the terms: 14 + 7y = -6(-4 + 2y) + 5y 14 + 7y = (-4 * -6 + 2y * -6) + 5y 14 + 7y = (24 + -12y) + 5y Combine like terms: -12y + 5y = -7y 14 + 7y = 24 + -7y Solving 14 + 7y = 24 + -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. 14 + 7y + 7y = 24 + -7y + 7y Combine like terms: 7y + 7y = 14y 14 + 14y = 24 + -7y + 7y Combine like terms: -7y + 7y = 0 14 + 14y = 24 + 0 14 + 14y = 24 Add '-14' to each side of the equation. 14 + -14 + 14y = 24 + -14 Combine like terms: 14 + -14 = 0 0 + 14y = 24 + -14 14y = 24 + -14 Combine like terms: 24 + -14 = 10 14y = 10 Divide each side by '14'. y = 0.7142857143 Simplifying y = 0.7142857143
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