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Simplifying 45 + -6y = 9 + -10y Solving 45 + -6y = 9 + -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. 45 + -6y + 10y = 9 + -10y + 10y Combine like terms: -6y + 10y = 4y 45 + 4y = 9 + -10y + 10y Combine like terms: -10y + 10y = 0 45 + 4y = 9 + 0 45 + 4y = 9 Add '-45' to each side of the equation. 45 + -45 + 4y = 9 + -45 Combine like terms: 45 + -45 = 0 0 + 4y = 9 + -45 4y = 9 + -45 Combine like terms: 9 + -45 = -36 4y = -36 Divide each side by '4'. y = -9 Simplifying y = -9
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