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Simplifying 2(y + 7) = 6y + 6 Reorder the terms: 2(7 + y) = 6y + 6 (7 * 2 + y * 2) = 6y + 6 (14 + 2y) = 6y + 6 Reorder the terms: 14 + 2y = 6 + 6y Solving 14 + 2y = 6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 14 + 2y + -6y = 6 + 6y + -6y Combine like terms: 2y + -6y = -4y 14 + -4y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 14 + -4y = 6 + 0 14 + -4y = 6 Add '-14' to each side of the equation. 14 + -14 + -4y = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -4y = 6 + -14 -4y = 6 + -14 Combine like terms: 6 + -14 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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