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Simplifying 23 + 2y + -5 = 10y + -12 + -2y Reorder the terms: 23 + -5 + 2y = 10y + -12 + -2y Combine like terms: 23 + -5 = 18 18 + 2y = 10y + -12 + -2y Reorder the terms: 18 + 2y = -12 + 10y + -2y Combine like terms: 10y + -2y = 8y 18 + 2y = -12 + 8y Solving 18 + 2y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 18 + 2y + -8y = -12 + 8y + -8y Combine like terms: 2y + -8y = -6y 18 + -6y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 18 + -6y = -12 + 0 18 + -6y = -12 Add '-18' to each side of the equation. 18 + -18 + -6y = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -6y = -12 + -18 -6y = -12 + -18 Combine like terms: -12 + -18 = -30 -6y = -30 Divide each side by '-6'. y = 5 Simplifying y = 5
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