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Simplifying 4y + 3 + 2y + 9 = 10y + -12 Reorder the terms: 3 + 9 + 4y + 2y = 10y + -12 Combine like terms: 3 + 9 = 12 12 + 4y + 2y = 10y + -12 Combine like terms: 4y + 2y = 6y 12 + 6y = 10y + -12 Reorder the terms: 12 + 6y = -12 + 10y Solving 12 + 6y = -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. 12 + 6y + -10y = -12 + 10y + -10y Combine like terms: 6y + -10y = -4y 12 + -4y = -12 + 10y + -10y Combine like terms: 10y + -10y = 0 12 + -4y = -12 + 0 12 + -4y = -12 Add '-12' to each side of the equation. 12 + -12 + -4y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -4y = -12 + -12 -4y = -12 + -12 Combine like terms: -12 + -12 = -24 -4y = -24 Divide each side by '-4'. y = 6 Simplifying y = 6
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