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Simplifying 6y + 19 = 7y + 12 Reorder the terms: 19 + 6y = 7y + 12 Reorder the terms: 19 + 6y = 12 + 7y Solving 19 + 6y = 12 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 19 + 6y + -7y = 12 + 7y + -7y Combine like terms: 6y + -7y = -1y 19 + -1y = 12 + 7y + -7y Combine like terms: 7y + -7y = 0 19 + -1y = 12 + 0 19 + -1y = 12 Add '-19' to each side of the equation. 19 + -19 + -1y = 12 + -19 Combine like terms: 19 + -19 = 0 0 + -1y = 12 + -19 -1y = 12 + -19 Combine like terms: 12 + -19 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7
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