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