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Simplifying 4y + 2(3y + 6) = 9y + -8 Reorder the terms: 4y + 2(6 + 3y) = 9y + -8 4y + (6 * 2 + 3y * 2) = 9y + -8 4y + (12 + 6y) = 9y + -8 Reorder the terms: 12 + 4y + 6y = 9y + -8 Combine like terms: 4y + 6y = 10y 12 + 10y = 9y + -8 Reorder the terms: 12 + 10y = -8 + 9y Solving 12 + 10y = -8 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 12 + 10y + -9y = -8 + 9y + -9y Combine like terms: 10y + -9y = 1y 12 + 1y = -8 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + 1y = -8 + 0 12 + 1y = -8 Add '-12' to each side of the equation. 12 + -12 + 1y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = -8 + -12 1y = -8 + -12 Combine like terms: -8 + -12 = -20 1y = -20 Divide each side by '1'. y = -20 Simplifying y = -20
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