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Simplifying 6y + 2 = 3x + 2y + 5 Reorder the terms: 2 + 6y = 3x + 2y + 5 Reorder the terms: 2 + 6y = 5 + 3x + 2y Solving 2 + 6y = 5 + 3x + 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. 2 + 6y + -2y = 5 + 3x + 2y + -2y Combine like terms: 6y + -2y = 4y 2 + 4y = 5 + 3x + 2y + -2y Combine like terms: 2y + -2y = 0 2 + 4y = 5 + 3x + 0 2 + 4y = 5 + 3x Add '-2' to each side of the equation. 2 + -2 + 4y = 5 + -2 + 3x Combine like terms: 2 + -2 = 0 0 + 4y = 5 + -2 + 3x 4y = 5 + -2 + 3x Combine like terms: 5 + -2 = 3 4y = 3 + 3x Divide each side by '4'. y = 0.75 + 0.75x Simplifying y = 0.75 + 0.75x
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