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Simplifying 2(2y + -3) = 12 + y Reorder the terms: 2(-3 + 2y) = 12 + y (-3 * 2 + 2y * 2) = 12 + y (-6 + 4y) = 12 + y Solving -6 + 4y = 12 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -6 + 4y + -1y = 12 + y + -1y Combine like terms: 4y + -1y = 3y -6 + 3y = 12 + y + -1y Combine like terms: y + -1y = 0 -6 + 3y = 12 + 0 -6 + 3y = 12 Add '6' to each side of the equation. -6 + 6 + 3y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3y = 12 + 6 3y = 12 + 6 Combine like terms: 12 + 6 = 18 3y = 18 Divide each side by '3'. y = 6 Simplifying y = 6
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