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Simplifying -4(2 + -1y) + 3y = 4(y + -4) (2 * -4 + -1y * -4) + 3y = 4(y + -4) (-8 + 4y) + 3y = 4(y + -4) Combine like terms: 4y + 3y = 7y -8 + 7y = 4(y + -4) Reorder the terms: -8 + 7y = 4(-4 + y) -8 + 7y = (-4 * 4 + y * 4) -8 + 7y = (-16 + 4y) Solving -8 + 7y = -16 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -8 + 7y + -4y = -16 + 4y + -4y Combine like terms: 7y + -4y = 3y -8 + 3y = -16 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + 3y = -16 + 0 -8 + 3y = -16 Add '8' to each side of the equation. -8 + 8 + 3y = -16 + 8 Combine like terms: -8 + 8 = 0 0 + 3y = -16 + 8 3y = -16 + 8 Combine like terms: -16 + 8 = -8 3y = -8 Divide each side by '3'. y = -2.666666667 Simplifying y = -2.666666667
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