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Simplifying 8 = 3 + 5(y + -2) Reorder the terms: 8 = 3 + 5(-2 + y) 8 = 3 + (-2 * 5 + y * 5) 8 = 3 + (-10 + 5y) Combine like terms: 3 + -10 = -7 8 = -7 + 5y Solving 8 = -7 + 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. 8 + -5y = -7 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + -5y = -7 + 0 8 + -5y = -7 Add '-8' to each side of the equation. 8 + -8 + -5y = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -5y = -7 + -8 -5y = -7 + -8 Combine like terms: -7 + -8 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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