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Simplifying 2y + 4(3 + y) = 114 2y + (3 * 4 + y * 4) = 114 2y + (12 + 4y) = 114 Reorder the terms: 12 + 2y + 4y = 114 Combine like terms: 2y + 4y = 6y 12 + 6y = 114 Solving 12 + 6y = 114 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6y = 114 + -12 Combine like terms: 12 + -12 = 0 0 + 6y = 114 + -12 6y = 114 + -12 Combine like terms: 114 + -12 = 102 6y = 102 Divide each side by '6'. y = 17 Simplifying y = 17
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