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Simplifying -4(3 + -1y) + 3y = 3(y + -4) (3 * -4 + -1y * -4) + 3y = 3(y + -4) (-12 + 4y) + 3y = 3(y + -4) Combine like terms: 4y + 3y = 7y -12 + 7y = 3(y + -4) Reorder the terms: -12 + 7y = 3(-4 + y) -12 + 7y = (-4 * 3 + y * 3) -12 + 7y = (-12 + 3y) Add '12' to each side of the equation. -12 + 12 + 7y = -12 + 12 + 3y Combine like terms: -12 + 12 = 0 0 + 7y = -12 + 12 + 3y 7y = -12 + 12 + 3y Combine like terms: -12 + 12 = 0 7y = 0 + 3y 7y = 3y Solving 7y = 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. 7y + -3y = 3y + -3y Combine like terms: 7y + -3y = 4y 4y = 3y + -3y Combine like terms: 3y + -3y = 0 4y = 0 Divide each side by '4'. y = 0 Simplifying y = 0
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