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Simplifying 4y + 9 = 10y + 12 Reorder the terms: 9 + 4y = 10y + 12 Reorder the terms: 9 + 4y = 12 + 10y Solving 9 + 4y = 12 + 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. 9 + 4y + -10y = 12 + 10y + -10y Combine like terms: 4y + -10y = -6y 9 + -6y = 12 + 10y + -10y Combine like terms: 10y + -10y = 0 9 + -6y = 12 + 0 9 + -6y = 12 Add '-9' to each side of the equation. 9 + -9 + -6y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -6y = 12 + -9 -6y = 12 + -9 Combine like terms: 12 + -9 = 3 -6y = 3 Divide each side by '-6'. y = -0.5 Simplifying y = -0.5
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