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Simplifying 3(y + -4) = 3y + -4(2 + -1y) Reorder the terms: 3(-4 + y) = 3y + -4(2 + -1y) (-4 * 3 + y * 3) = 3y + -4(2 + -1y) (-12 + 3y) = 3y + -4(2 + -1y) -12 + 3y = 3y + (2 * -4 + -1y * -4) -12 + 3y = 3y + (-8 + 4y) Reorder the terms: -12 + 3y = -8 + 3y + 4y Combine like terms: 3y + 4y = 7y -12 + 3y = -8 + 7y Solving -12 + 3y = -8 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -12 + 3y + -7y = -8 + 7y + -7y Combine like terms: 3y + -7y = -4y -12 + -4y = -8 + 7y + -7y Combine like terms: 7y + -7y = 0 -12 + -4y = -8 + 0 -12 + -4y = -8 Add '12' to each side of the equation. -12 + 12 + -4y = -8 + 12 Combine like terms: -12 + 12 = 0 0 + -4y = -8 + 12 -4y = -8 + 12 Combine like terms: -8 + 12 = 4 -4y = 4 Divide each side by '-4'. y = -1 Simplifying y = -1
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