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Simplifying y + 2[y + -5] = 2y + 2 Reorder the terms: y + 2[-5 + y] = 2y + 2 y + [-5 * 2 + y * 2] = 2y + 2 y + [-10 + 2y] = 2y + 2 Reorder the terms: -10 + y + 2y = 2y + 2 Combine like terms: y + 2y = 3y -10 + 3y = 2y + 2 Reorder the terms: -10 + 3y = 2 + 2y Solving -10 + 3y = 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. -10 + 3y + -2y = 2 + 2y + -2y Combine like terms: 3y + -2y = 1y -10 + 1y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 -10 + 1y = 2 + 0 -10 + 1y = 2 Add '10' to each side of the equation. -10 + 10 + 1y = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 2 + 10 1y = 2 + 10 Combine like terms: 2 + 10 = 12 1y = 12 Divide each side by '1'. y = 12 Simplifying y = 12
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