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Simplifying 23 + 3y + -7 = 10y + -9 + -2y Reorder the terms: 23 + -7 + 3y = 10y + -9 + -2y Combine like terms: 23 + -7 = 16 16 + 3y = 10y + -9 + -2y Reorder the terms: 16 + 3y = -9 + 10y + -2y Combine like terms: 10y + -2y = 8y 16 + 3y = -9 + 8y Solving 16 + 3y = -9 + 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. 16 + 3y + -8y = -9 + 8y + -8y Combine like terms: 3y + -8y = -5y 16 + -5y = -9 + 8y + -8y Combine like terms: 8y + -8y = 0 16 + -5y = -9 + 0 16 + -5y = -9 Add '-16' to each side of the equation. 16 + -16 + -5y = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -5y = -9 + -16 -5y = -9 + -16 Combine like terms: -9 + -16 = -25 -5y = -25 Divide each side by '-5'. y = 5 Simplifying y = 5
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