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Simplifying 3(y + -6) = 2 + -2y Reorder the terms: 3(-6 + y) = 2 + -2y (-6 * 3 + y * 3) = 2 + -2y (-18 + 3y) = 2 + -2y Solving -18 + 3y = 2 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -18 + 3y + 2y = 2 + -2y + 2y Combine like terms: 3y + 2y = 5y -18 + 5y = 2 + -2y + 2y Combine like terms: -2y + 2y = 0 -18 + 5y = 2 + 0 -18 + 5y = 2 Add '18' to each side of the equation. -18 + 18 + 5y = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 5y = 2 + 18 5y = 2 + 18 Combine like terms: 2 + 18 = 20 5y = 20 Divide each side by '5'. y = 4 Simplifying y = 4
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