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Simplifying 3(5y + -6) = 6y Reorder the terms: 3(-6 + 5y) = 6y (-6 * 3 + 5y * 3) = 6y (-18 + 15y) = 6y Solving -18 + 15y = 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. -18 + 15y + -6y = 6y + -6y Combine like terms: 15y + -6y = 9y -18 + 9y = 6y + -6y Combine like terms: 6y + -6y = 0 -18 + 9y = 0 Add '18' to each side of the equation. -18 + 18 + 9y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 9y = 0 + 18 9y = 0 + 18 Combine like terms: 0 + 18 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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