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Simplifying 10y + -46 = 2y + 18 Reorder the terms: -46 + 10y = 2y + 18 Reorder the terms: -46 + 10y = 18 + 2y Solving -46 + 10y = 18 + 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. -46 + 10y + -2y = 18 + 2y + -2y Combine like terms: 10y + -2y = 8y -46 + 8y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 -46 + 8y = 18 + 0 -46 + 8y = 18 Add '46' to each side of the equation. -46 + 46 + 8y = 18 + 46 Combine like terms: -46 + 46 = 0 0 + 8y = 18 + 46 8y = 18 + 46 Combine like terms: 18 + 46 = 64 8y = 64 Divide each side by '8'. y = 8 Simplifying y = 8
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