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Simplifying 7(2 + y) + -3y = 5y + -6 (2 * 7 + y * 7) + -3y = 5y + -6 (14 + 7y) + -3y = 5y + -6 Combine like terms: 7y + -3y = 4y 14 + 4y = 5y + -6 Reorder the terms: 14 + 4y = -6 + 5y Solving 14 + 4y = -6 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 14 + 4y + -5y = -6 + 5y + -5y Combine like terms: 4y + -5y = -1y 14 + -1y = -6 + 5y + -5y Combine like terms: 5y + -5y = 0 14 + -1y = -6 + 0 14 + -1y = -6 Add '-14' to each side of the equation. 14 + -14 + -1y = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -1y = -6 + -14 -1y = -6 + -14 Combine like terms: -6 + -14 = -20 -1y = -20 Divide each side by '-1'. y = 20 Simplifying y = 20
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