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Simplifying 5y + 23 = 6y + 4y + -7 Reorder the terms: 23 + 5y = 6y + 4y + -7 Reorder the terms: 23 + 5y = -7 + 6y + 4y Combine like terms: 6y + 4y = 10y 23 + 5y = -7 + 10y Solving 23 + 5y = -7 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 23 + 5y + -10y = -7 + 10y + -10y Combine like terms: 5y + -10y = -5y 23 + -5y = -7 + 10y + -10y Combine like terms: 10y + -10y = 0 23 + -5y = -7 + 0 23 + -5y = -7 Add '-23' to each side of the equation. 23 + -23 + -5y = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -5y = -7 + -23 -5y = -7 + -23 Combine like terms: -7 + -23 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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