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Simplifying 6 = 1 + 5(y + -2) Reorder the terms: 6 = 1 + 5(-2 + y) 6 = 1 + (-2 * 5 + y * 5) 6 = 1 + (-10 + 5y) Combine like terms: 1 + -10 = -9 6 = -9 + 5y Solving 6 = -9 + 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. 6 + -5y = -9 + 5y + -5y Combine like terms: 5y + -5y = 0 6 + -5y = -9 + 0 6 + -5y = -9 Add '-6' to each side of the equation. 6 + -6 + -5y = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -5y = -9 + -6 -5y = -9 + -6 Combine like terms: -9 + -6 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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