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Simplifying 3(y + -13) = 6y + 12 Reorder the terms: 3(-13 + y) = 6y + 12 (-13 * 3 + y * 3) = 6y + 12 (-39 + 3y) = 6y + 12 Reorder the terms: -39 + 3y = 12 + 6y Solving -39 + 3y = 12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -39 + 3y + -6y = 12 + 6y + -6y Combine like terms: 3y + -6y = -3y -39 + -3y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -39 + -3y = 12 + 0 -39 + -3y = 12 Add '39' to each side of the equation. -39 + 39 + -3y = 12 + 39 Combine like terms: -39 + 39 = 0 0 + -3y = 12 + 39 -3y = 12 + 39 Combine like terms: 12 + 39 = 51 -3y = 51 Divide each side by '-3'. y = -17 Simplifying y = -17
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