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Simplifying 4y + 12 = 36 + y + 6 Reorder the terms: 12 + 4y = 36 + y + 6 Reorder the terms: 12 + 4y = 36 + 6 + y Combine like terms: 36 + 6 = 42 12 + 4y = 42 + y Solving 12 + 4y = 42 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 12 + 4y + -1y = 42 + y + -1y Combine like terms: 4y + -1y = 3y 12 + 3y = 42 + y + -1y Combine like terms: y + -1y = 0 12 + 3y = 42 + 0 12 + 3y = 42 Add '-12' to each side of the equation. 12 + -12 + 3y = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = 42 + -12 3y = 42 + -12 Combine like terms: 42 + -12 = 30 3y = 30 Divide each side by '3'. y = 10 Simplifying y = 10
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