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Simplifying 2(6 + 5y) = 2(-5 + 4y) (6 * 2 + 5y * 2) = 2(-5 + 4y) (12 + 10y) = 2(-5 + 4y) 12 + 10y = (-5 * 2 + 4y * 2) 12 + 10y = (-10 + 8y) Solving 12 + 10y = -10 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 12 + 10y + -8y = -10 + 8y + -8y Combine like terms: 10y + -8y = 2y 12 + 2y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 12 + 2y = -10 + 0 12 + 2y = -10 Add '-12' to each side of the equation. 12 + -12 + 2y = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = -10 + -12 2y = -10 + -12 Combine like terms: -10 + -12 = -22 2y = -22 Divide each side by '2'. y = -11 Simplifying y = -11
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