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Simplifying 40 + 4y + -8 = 15y + -10 + -5y Reorder the terms: 40 + -8 + 4y = 15y + -10 + -5y Combine like terms: 40 + -8 = 32 32 + 4y = 15y + -10 + -5y Reorder the terms: 32 + 4y = -10 + 15y + -5y Combine like terms: 15y + -5y = 10y 32 + 4y = -10 + 10y Solving 32 + 4y = -10 + 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. 32 + 4y + -10y = -10 + 10y + -10y Combine like terms: 4y + -10y = -6y 32 + -6y = -10 + 10y + -10y Combine like terms: 10y + -10y = 0 32 + -6y = -10 + 0 32 + -6y = -10 Add '-32' to each side of the equation. 32 + -32 + -6y = -10 + -32 Combine like terms: 32 + -32 = 0 0 + -6y = -10 + -32 -6y = -10 + -32 Combine like terms: -10 + -32 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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