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Simplifying 10y + -8 = 46 + -2y Reorder the terms: -8 + 10y = 46 + -2y Solving -8 + 10y = 46 + -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. -8 + 10y + 2y = 46 + -2y + 2y Combine like terms: 10y + 2y = 12y -8 + 12y = 46 + -2y + 2y Combine like terms: -2y + 2y = 0 -8 + 12y = 46 + 0 -8 + 12y = 46 Add '8' to each side of the equation. -8 + 8 + 12y = 46 + 8 Combine like terms: -8 + 8 = 0 0 + 12y = 46 + 8 12y = 46 + 8 Combine like terms: 46 + 8 = 54 12y = 54 Divide each side by '12'. y = 4.5 Simplifying y = 4.5
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