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Simplifying 6 = 3y + 3(y + -6) Reorder the terms: 6 = 3y + 3(-6 + y) 6 = 3y + (-6 * 3 + y * 3) 6 = 3y + (-18 + 3y) Reorder the terms: 6 = -18 + 3y + 3y Combine like terms: 3y + 3y = 6y 6 = -18 + 6y Solving 6 = -18 + 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 + -6y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 6 + -6y = -18 + 0 6 + -6y = -18 Add '-6' to each side of the equation. 6 + -6 + -6y = -18 + -6 Combine like terms: 6 + -6 = 0 0 + -6y = -18 + -6 -6y = -18 + -6 Combine like terms: -18 + -6 = -24 -6y = -24 Divide each side by '-6'. y = 4 Simplifying y = 4
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