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Simplifying 6(y + 3) + 3y = 3(y + -2) Reorder the terms: 6(3 + y) + 3y = 3(y + -2) (3 * 6 + y * 6) + 3y = 3(y + -2) (18 + 6y) + 3y = 3(y + -2) Combine like terms: 6y + 3y = 9y 18 + 9y = 3(y + -2) Reorder the terms: 18 + 9y = 3(-2 + y) 18 + 9y = (-2 * 3 + y * 3) 18 + 9y = (-6 + 3y) Solving 18 + 9y = -6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 18 + 9y + -3y = -6 + 3y + -3y Combine like terms: 9y + -3y = 6y 18 + 6y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 18 + 6y = -6 + 0 18 + 6y = -6 Add '-18' to each side of the equation. 18 + -18 + 6y = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 6y = -6 + -18 6y = -6 + -18 Combine like terms: -6 + -18 = -24 6y = -24 Divide each side by '6'. y = -4 Simplifying y = -4
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