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Simplifying 3(2y + -2) = 2(y + 6) Reorder the terms: 3(-2 + 2y) = 2(y + 6) (-2 * 3 + 2y * 3) = 2(y + 6) (-6 + 6y) = 2(y + 6) Reorder the terms: -6 + 6y = 2(6 + y) -6 + 6y = (6 * 2 + y * 2) -6 + 6y = (12 + 2y) Solving -6 + 6y = 12 + 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. -6 + 6y + -2y = 12 + 2y + -2y Combine like terms: 6y + -2y = 4y -6 + 4y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + 4y = 12 + 0 -6 + 4y = 12 Add '6' to each side of the equation. -6 + 6 + 4y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 4y = 12 + 6 4y = 12 + 6 Combine like terms: 12 + 6 = 18 4y = 18 Divide each side by '4'. y = 4.5 Simplifying y = 4.5
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