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Simplifying 6y + 12 = 3(4y + 3) Reorder the terms: 12 + 6y = 3(4y + 3) Reorder the terms: 12 + 6y = 3(3 + 4y) 12 + 6y = (3 * 3 + 4y * 3) 12 + 6y = (9 + 12y) Solving 12 + 6y = 9 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 12 + 6y + -12y = 9 + 12y + -12y Combine like terms: 6y + -12y = -6y 12 + -6y = 9 + 12y + -12y Combine like terms: 12y + -12y = 0 12 + -6y = 9 + 0 12 + -6y = 9 Add '-12' to each side of the equation. 12 + -12 + -6y = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = 9 + -12 -6y = 9 + -12 Combine like terms: 9 + -12 = -3 -6y = -3 Divide each side by '-6'. y = 0.5 Simplifying y = 0.5
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