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Simplifying 6y + 13 = 2y + 12 Reorder the terms: 13 + 6y = 2y + 12 Reorder the terms: 13 + 6y = 12 + 2y Solving 13 + 6y = 12 + 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. 13 + 6y + -2y = 12 + 2y + -2y Combine like terms: 6y + -2y = 4y 13 + 4y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 13 + 4y = 12 + 0 13 + 4y = 12 Add '-13' to each side of the equation. 13 + -13 + 4y = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 4y = 12 + -13 4y = 12 + -13 Combine like terms: 12 + -13 = -1 4y = -1 Divide each side by '4'. y = -0.25 Simplifying y = -0.25
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