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Simplifying 12 = 6y + 5(y + -2) Reorder the terms: 12 = 6y + 5(-2 + y) 12 = 6y + (-2 * 5 + y * 5) 12 = 6y + (-10 + 5y) Reorder the terms: 12 = -10 + 6y + 5y Combine like terms: 6y + 5y = 11y 12 = -10 + 11y Solving 12 = -10 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 12 + -11y = -10 + 11y + -11y Combine like terms: 11y + -11y = 0 12 + -11y = -10 + 0 12 + -11y = -10 Add '-12' to each side of the equation. 12 + -12 + -11y = -10 + -12 Combine like terms: 12 + -12 = 0 0 + -11y = -10 + -12 -11y = -10 + -12 Combine like terms: -10 + -12 = -22 -11y = -22 Divide each side by '-11'. y = 2 Simplifying y = 2
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