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Simplifying y + 2(y + -5) = 2y + 12 Reorder the terms: y + 2(-5 + y) = 2y + 12 y + (-5 * 2 + y * 2) = 2y + 12 y + (-10 + 2y) = 2y + 12 Reorder the terms: -10 + y + 2y = 2y + 12 Combine like terms: y + 2y = 3y -10 + 3y = 2y + 12 Reorder the terms: -10 + 3y = 12 + 2y Solving -10 + 3y = 12 + 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 = 12 + 2y + -2y Combine like terms: 3y + -2y = 1y -10 + 1y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -10 + 1y = 12 + 0 -10 + 1y = 12 Add '10' to each side of the equation. -10 + 10 + 1y = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 1y = 12 + 10 1y = 12 + 10 Combine like terms: 12 + 10 = 22 1y = 22 Divide each side by '1'. y = 22 Simplifying y = 22
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