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Simplifying 4(y + -2) = -2(3 + y) Reorder the terms: 4(-2 + y) = -2(3 + y) (-2 * 4 + y * 4) = -2(3 + y) (-8 + 4y) = -2(3 + y) -8 + 4y = (3 * -2 + y * -2) -8 + 4y = (-6 + -2y) Solving -8 + 4y = -6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -8 + 4y + 2y = -6 + -2y + 2y Combine like terms: 4y + 2y = 6y -8 + 6y = -6 + -2y + 2y Combine like terms: -2y + 2y = 0 -8 + 6y = -6 + 0 -8 + 6y = -6 Add '8' to each side of the equation. -8 + 8 + 6y = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 6y = -6 + 8 6y = -6 + 8 Combine like terms: -6 + 8 = 2 6y = 2 Divide each side by '6'. y = 0.3333333333 Simplifying y = 0.3333333333
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