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Simplifying 4(y + 2) + -2y = 2(2 + -3y) Reorder the terms: 4(2 + y) + -2y = 2(2 + -3y) (2 * 4 + y * 4) + -2y = 2(2 + -3y) (8 + 4y) + -2y = 2(2 + -3y) Combine like terms: 4y + -2y = 2y 8 + 2y = 2(2 + -3y) 8 + 2y = (2 * 2 + -3y * 2) 8 + 2y = (4 + -6y) Solving 8 + 2y = 4 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 8 + 2y + 6y = 4 + -6y + 6y Combine like terms: 2y + 6y = 8y 8 + 8y = 4 + -6y + 6y Combine like terms: -6y + 6y = 0 8 + 8y = 4 + 0 8 + 8y = 4 Add '-8' to each side of the equation. 8 + -8 + 8y = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 8y = 4 + -8 8y = 4 + -8 Combine like terms: 4 + -8 = -4 8y = -4 Divide each side by '8'. y = -0.5 Simplifying y = -0.5
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