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