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Simplifying 2(2y + 1) = (5y + -2) Reorder the terms: 2(1 + 2y) = (5y + -2) (1 * 2 + 2y * 2) = (5y + -2) (2 + 4y) = (5y + -2) Reorder the terms: 2 + 4y = (-2 + 5y) Remove parenthesis around (-2 + 5y) 2 + 4y = -2 + 5y Solving 2 + 4y = -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. 2 + 4y + -5y = -2 + 5y + -5y Combine like terms: 4y + -5y = -1y 2 + -1y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 2 + -1y = -2 + 0 2 + -1y = -2 Add '-2' to each side of the equation. 2 + -2 + -1y = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = -2 + -2 -1y = -2 + -2 Combine like terms: -2 + -2 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4
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