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Simplifying 3 + 2(y + 3) = 6y + -6 Reorder the terms: 3 + 2(3 + y) = 6y + -6 3 + (3 * 2 + y * 2) = 6y + -6 3 + (6 + 2y) = 6y + -6 Combine like terms: 3 + 6 = 9 9 + 2y = 6y + -6 Reorder the terms: 9 + 2y = -6 + 6y Solving 9 + 2y = -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. 9 + 2y + -6y = -6 + 6y + -6y Combine like terms: 2y + -6y = -4y 9 + -4y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + -4y = -6 + 0 9 + -4y = -6 Add '-9' to each side of the equation. 9 + -9 + -4y = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = -6 + -9 -4y = -6 + -9 Combine like terms: -6 + -9 = -15 -4y = -15 Divide each side by '-4'. y = 3.75 Simplifying y = 3.75
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