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Simplifying (-4)(2 + -1y) + 3y = 3(y + -4) (2 * -4 + -1y * -4) + 3y = 3(y + -4) (-8 + 4y) + 3y = 3(y + -4) Combine like terms: 4y + 3y = 7y -8 + 7y = 3(y + -4) Reorder the terms: -8 + 7y = 3(-4 + y) -8 + 7y = (-4 * 3 + y * 3) -8 + 7y = (-12 + 3y) Solving -8 + 7y = -12 + 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. -8 + 7y + -3y = -12 + 3y + -3y Combine like terms: 7y + -3y = 4y -8 + 4y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 4y = -12 + 0 -8 + 4y = -12 Add '8' to each side of the equation. -8 + 8 + 4y = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = -12 + 8 4y = -12 + 8 Combine like terms: -12 + 8 = -4 4y = -4 Divide each side by '4'. y = -1 Simplifying y = -1
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