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Simplifying 4y + 36 = 2y + 42 Reorder the terms: 36 + 4y = 2y + 42 Reorder the terms: 36 + 4y = 42 + 2y Solving 36 + 4y = 42 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 36 + 4y + -2y = 42 + 2y + -2y Combine like terms: 4y + -2y = 2y 36 + 2y = 42 + 2y + -2y Combine like terms: 2y + -2y = 0 36 + 2y = 42 + 0 36 + 2y = 42 Add '-36' to each side of the equation. 36 + -36 + 2y = 42 + -36 Combine like terms: 36 + -36 = 0 0 + 2y = 42 + -36 2y = 42 + -36 Combine like terms: 42 + -36 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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