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Simplifying 4 = 3(y + -2) + -8y Reorder the terms: 4 = 3(-2 + y) + -8y 4 = (-2 * 3 + y * 3) + -8y 4 = (-6 + 3y) + -8y Combine like terms: 3y + -8y = -5y 4 = -6 + -5y Solving 4 = -6 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 4 + 5y = -6 + -5y + 5y Combine like terms: -5y + 5y = 0 4 + 5y = -6 + 0 4 + 5y = -6 Add '-4' to each side of the equation. 4 + -4 + 5y = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 5y = -6 + -4 5y = -6 + -4 Combine like terms: -6 + -4 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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