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Simplifying 10y + 50 = 14y + -42 Reorder the terms: 50 + 10y = 14y + -42 Reorder the terms: 50 + 10y = -42 + 14y Solving 50 + 10y = -42 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 50 + 10y + -14y = -42 + 14y + -14y Combine like terms: 10y + -14y = -4y 50 + -4y = -42 + 14y + -14y Combine like terms: 14y + -14y = 0 50 + -4y = -42 + 0 50 + -4y = -42 Add '-50' to each side of the equation. 50 + -50 + -4y = -42 + -50 Combine like terms: 50 + -50 = 0 0 + -4y = -42 + -50 -4y = -42 + -50 Combine like terms: -42 + -50 = -92 -4y = -92 Divide each side by '-4'. y = 23 Simplifying y = 23
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