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Simplifying -3(y + -4) = 3(1 + 2y) Reorder the terms: -3(-4 + y) = 3(1 + 2y) (-4 * -3 + y * -3) = 3(1 + 2y) (12 + -3y) = 3(1 + 2y) 12 + -3y = (1 * 3 + 2y * 3) 12 + -3y = (3 + 6y) Solving 12 + -3y = 3 + 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. 12 + -3y + -6y = 3 + 6y + -6y Combine like terms: -3y + -6y = -9y 12 + -9y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -9y = 3 + 0 12 + -9y = 3 Add '-12' to each side of the equation. 12 + -12 + -9y = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -9y = 3 + -12 -9y = 3 + -12 Combine like terms: 3 + -12 = -9 -9y = -9 Divide each side by '-9'. y = 1 Simplifying y = 1
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