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Simplifying 2(y + 6) = 36 + -4y Reorder the terms: 2(6 + y) = 36 + -4y (6 * 2 + y * 2) = 36 + -4y (12 + 2y) = 36 + -4y Solving 12 + 2y = 36 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 12 + 2y + 4y = 36 + -4y + 4y Combine like terms: 2y + 4y = 6y 12 + 6y = 36 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + 6y = 36 + 0 12 + 6y = 36 Add '-12' to each side of the equation. 12 + -12 + 6y = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 6y = 36 + -12 6y = 36 + -12 Combine like terms: 36 + -12 = 24 6y = 24 Divide each side by '6'. y = 4 Simplifying y = 4
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