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Simplifying 7(2 + -1y) + 8y = 5y + 2 (2 * 7 + -1y * 7) + 8y = 5y + 2 (14 + -7y) + 8y = 5y + 2 Combine like terms: -7y + 8y = 1y 14 + 1y = 5y + 2 Reorder the terms: 14 + 1y = 2 + 5y Solving 14 + 1y = 2 + 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 + 1y + -5y = 2 + 5y + -5y Combine like terms: 1y + -5y = -4y 14 + -4y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 14 + -4y = 2 + 0 14 + -4y = 2 Add '-14' to each side of the equation. 14 + -14 + -4y = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -4y = 2 + -14 -4y = 2 + -14 Combine like terms: 2 + -14 = -12 -4y = -12 Divide each side by '-4'. y = 3 Simplifying y = 3
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