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Simplifying 10y + 23 + 12y + 49 = 24y + 66 Reorder the terms: 23 + 49 + 10y + 12y = 24y + 66 Combine like terms: 23 + 49 = 72 72 + 10y + 12y = 24y + 66 Combine like terms: 10y + 12y = 22y 72 + 22y = 24y + 66 Reorder the terms: 72 + 22y = 66 + 24y Solving 72 + 22y = 66 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 72 + 22y + -24y = 66 + 24y + -24y Combine like terms: 22y + -24y = -2y 72 + -2y = 66 + 24y + -24y Combine like terms: 24y + -24y = 0 72 + -2y = 66 + 0 72 + -2y = 66 Add '-72' to each side of the equation. 72 + -72 + -2y = 66 + -72 Combine like terms: 72 + -72 = 0 0 + -2y = 66 + -72 -2y = 66 + -72 Combine like terms: 66 + -72 = -6 -2y = -6 Divide each side by '-2'. y = 3 Simplifying y = 3
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