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Simplifying 2(3y + -1) = 2y + 46 Reorder the terms: 2(-1 + 3y) = 2y + 46 (-1 * 2 + 3y * 2) = 2y + 46 (-2 + 6y) = 2y + 46 Reorder the terms: -2 + 6y = 46 + 2y Solving -2 + 6y = 46 + 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. -2 + 6y + -2y = 46 + 2y + -2y Combine like terms: 6y + -2y = 4y -2 + 4y = 46 + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + 4y = 46 + 0 -2 + 4y = 46 Add '2' to each side of the equation. -2 + 2 + 4y = 46 + 2 Combine like terms: -2 + 2 = 0 0 + 4y = 46 + 2 4y = 46 + 2 Combine like terms: 46 + 2 = 48 4y = 48 Divide each side by '4'. y = 12 Simplifying y = 12
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