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Simplifying 3y + -6 = -3(2y + -4) Reorder the terms: -6 + 3y = -3(2y + -4) Reorder the terms: -6 + 3y = -3(-4 + 2y) -6 + 3y = (-4 * -3 + 2y * -3) -6 + 3y = (12 + -6y) Solving -6 + 3y = 12 + -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 + 3y + 6y = 12 + -6y + 6y Combine like terms: 3y + 6y = 9y -6 + 9y = 12 + -6y + 6y Combine like terms: -6y + 6y = 0 -6 + 9y = 12 + 0 -6 + 9y = 12 Add '6' to each side of the equation. -6 + 6 + 9y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 9y = 12 + 6 9y = 12 + 6 Combine like terms: 12 + 6 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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