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Simplifying -3(2y + -4) = 3(1 + -3y) + 10 Reorder the terms: -3(-4 + 2y) = 3(1 + -3y) + 10 (-4 * -3 + 2y * -3) = 3(1 + -3y) + 10 (12 + -6y) = 3(1 + -3y) + 10 12 + -6y = (1 * 3 + -3y * 3) + 10 12 + -6y = (3 + -9y) + 10 Reorder the terms: 12 + -6y = 3 + 10 + -9y Combine like terms: 3 + 10 = 13 12 + -6y = 13 + -9y Solving 12 + -6y = 13 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 12 + -6y + 9y = 13 + -9y + 9y Combine like terms: -6y + 9y = 3y 12 + 3y = 13 + -9y + 9y Combine like terms: -9y + 9y = 0 12 + 3y = 13 + 0 12 + 3y = 13 Add '-12' to each side of the equation. 12 + -12 + 3y = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = 13 + -12 3y = 13 + -12 Combine like terms: 13 + -12 = 1 3y = 1 Divide each side by '3'. y = 0.3333333333 Simplifying y = 0.3333333333
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