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Simplifying 5(6 + y) = 2 + -2y (6 * 5 + y * 5) = 2 + -2y (30 + 5y) = 2 + -2y Solving 30 + 5y = 2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 30 + 5y + 2y = 2 + -2y + 2y Combine like terms: 5y + 2y = 7y 30 + 7y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + 7y = 2 + 0 30 + 7y = 2 Add '-30' to each side of the equation. 30 + -30 + 7y = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 7y = 2 + -30 7y = 2 + -30 Combine like terms: 2 + -30 = -28 7y = -28 Divide each side by '7'. y = -4 Simplifying y = -4
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