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Simplifying 3(y + -6) = 2(5 + -2y) Reorder the terms: 3(-6 + y) = 2(5 + -2y) (-6 * 3 + y * 3) = 2(5 + -2y) (-18 + 3y) = 2(5 + -2y) -18 + 3y = (5 * 2 + -2y * 2) -18 + 3y = (10 + -4y) Solving -18 + 3y = 10 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -18 + 3y + 4y = 10 + -4y + 4y Combine like terms: 3y + 4y = 7y -18 + 7y = 10 + -4y + 4y Combine like terms: -4y + 4y = 0 -18 + 7y = 10 + 0 -18 + 7y = 10 Add '18' to each side of the equation. -18 + 18 + 7y = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 7y = 10 + 18 7y = 10 + 18 Combine like terms: 10 + 18 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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