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Simplifying 7(y + 2) = -3(5y + -7) + 8y Reorder the terms: 7(2 + y) = -3(5y + -7) + 8y (2 * 7 + y * 7) = -3(5y + -7) + 8y (14 + 7y) = -3(5y + -7) + 8y Reorder the terms: 14 + 7y = -3(-7 + 5y) + 8y 14 + 7y = (-7 * -3 + 5y * -3) + 8y 14 + 7y = (21 + -15y) + 8y Combine like terms: -15y + 8y = -7y 14 + 7y = 21 + -7y Solving 14 + 7y = 21 + -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 = 21 + -7y + 7y Combine like terms: 7y + 7y = 14y 14 + 14y = 21 + -7y + 7y Combine like terms: -7y + 7y = 0 14 + 14y = 21 + 0 14 + 14y = 21 Add '-14' to each side of the equation. 14 + -14 + 14y = 21 + -14 Combine like terms: 14 + -14 = 0 0 + 14y = 21 + -14 14y = 21 + -14 Combine like terms: 21 + -14 = 7 14y = 7 Divide each side by '14'. y = 0.5 Simplifying y = 0.5
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