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Simplifying 3(2y + -4) + 9 = 3y + 12 Reorder the terms: 3(-4 + 2y) + 9 = 3y + 12 (-4 * 3 + 2y * 3) + 9 = 3y + 12 (-12 + 6y) + 9 = 3y + 12 Reorder the terms: -12 + 9 + 6y = 3y + 12 Combine like terms: -12 + 9 = -3 -3 + 6y = 3y + 12 Reorder the terms: -3 + 6y = 12 + 3y Solving -3 + 6y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -3 + 6y + -3y = 12 + 3y + -3y Combine like terms: 6y + -3y = 3y -3 + 3y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -3 + 3y = 12 + 0 -3 + 3y = 12 Add '3' to each side of the equation. -3 + 3 + 3y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3y = 12 + 3 3y = 12 + 3 Combine like terms: 12 + 3 = 15 3y = 15 Divide each side by '3'. y = 5 Simplifying y = 5
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