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Simplifying 2(y + 3) = 6(y + 2) Reorder the terms: 2(3 + y) = 6(y + 2) (3 * 2 + y * 2) = 6(y + 2) (6 + 2y) = 6(y + 2) Reorder the terms: 6 + 2y = 6(2 + y) 6 + 2y = (2 * 6 + y * 6) 6 + 2y = (12 + 6y) Solving 6 + 2y = 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. 6 + 2y + -6y = 12 + 6y + -6y Combine like terms: 2y + -6y = -4y 6 + -4y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 6 + -4y = 12 + 0 6 + -4y = 12 Add '-6' to each side of the equation. 6 + -6 + -4y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -4y = 12 + -6 -4y = 12 + -6 Combine like terms: 12 + -6 = 6 -4y = 6 Divide each side by '-4'. y = -1.5 Simplifying y = -1.5
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