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Simplifying 5(y + 2) = 2(2y + -2) Reorder the terms: 5(2 + y) = 2(2y + -2) (2 * 5 + y * 5) = 2(2y + -2) (10 + 5y) = 2(2y + -2) Reorder the terms: 10 + 5y = 2(-2 + 2y) 10 + 5y = (-2 * 2 + 2y * 2) 10 + 5y = (-4 + 4y) Solving 10 + 5y = -4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 10 + 5y + -4y = -4 + 4y + -4y Combine like terms: 5y + -4y = 1y 10 + 1y = -4 + 4y + -4y Combine like terms: 4y + -4y = 0 10 + 1y = -4 + 0 10 + 1y = -4 Add '-10' to each side of the equation. 10 + -10 + 1y = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = -4 + -10 1y = -4 + -10 Combine like terms: -4 + -10 = -14 1y = -14 Divide each side by '1'. y = -14 Simplifying y = -14
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