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Simplifying 23 + y + -5 = 10y + -10 + -5y Reorder the terms: 23 + -5 + y = 10y + -10 + -5y Combine like terms: 23 + -5 = 18 18 + y = 10y + -10 + -5y Reorder the terms: 18 + y = -10 + 10y + -5y Combine like terms: 10y + -5y = 5y 18 + y = -10 + 5y Solving 18 + y = -10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 18 + y + -5y = -10 + 5y + -5y Combine like terms: y + -5y = -4y 18 + -4y = -10 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + -4y = -10 + 0 18 + -4y = -10 Add '-18' to each side of the equation. 18 + -18 + -4y = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -4y = -10 + -18 -4y = -10 + -18 Combine like terms: -10 + -18 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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