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Simplifying 12y + 19 = 13y + 10 Reorder the terms: 19 + 12y = 13y + 10 Reorder the terms: 19 + 12y = 10 + 13y Solving 19 + 12y = 10 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 19 + 12y + -13y = 10 + 13y + -13y Combine like terms: 12y + -13y = -1y 19 + -1y = 10 + 13y + -13y Combine like terms: 13y + -13y = 0 19 + -1y = 10 + 0 19 + -1y = 10 Add '-19' to each side of the equation. 19 + -19 + -1y = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -1y = 10 + -19 -1y = 10 + -19 Combine like terms: 10 + -19 = -9 -1y = -9 Divide each side by '-1'. y = 9 Simplifying y = 9
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