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Simplifying -6(-2y + 4) + -3y = 3(y + -2) + -3 Reorder the terms: -6(4 + -2y) + -3y = 3(y + -2) + -3 (4 * -6 + -2y * -6) + -3y = 3(y + -2) + -3 (-24 + 12y) + -3y = 3(y + -2) + -3 Combine like terms: 12y + -3y = 9y -24 + 9y = 3(y + -2) + -3 Reorder the terms: -24 + 9y = 3(-2 + y) + -3 -24 + 9y = (-2 * 3 + y * 3) + -3 -24 + 9y = (-6 + 3y) + -3 Reorder the terms: -24 + 9y = -6 + -3 + 3y Combine like terms: -6 + -3 = -9 -24 + 9y = -9 + 3y Solving -24 + 9y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -24 + 9y + -3y = -9 + 3y + -3y Combine like terms: 9y + -3y = 6y -24 + 6y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 6y = -9 + 0 -24 + 6y = -9 Add '24' to each side of the equation. -24 + 24 + 6y = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 6y = -9 + 24 6y = -9 + 24 Combine like terms: -9 + 24 = 15 6y = 15 Divide each side by '6'. y = 2.5 Simplifying y = 2.5
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