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Simplifying 3y + 4y + -12 = 5y + -3y + 3 Reorder the terms: -12 + 3y + 4y = 5y + -3y + 3 Combine like terms: 3y + 4y = 7y -12 + 7y = 5y + -3y + 3 Reorder the terms: -12 + 7y = 3 + 5y + -3y Combine like terms: 5y + -3y = 2y -12 + 7y = 3 + 2y Solving -12 + 7y = 3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -12 + 7y + -2y = 3 + 2y + -2y Combine like terms: 7y + -2y = 5y -12 + 5y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 5y = 3 + 0 -12 + 5y = 3 Add '12' to each side of the equation. -12 + 12 + 5y = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 3 + 12 5y = 3 + 12 Combine like terms: 3 + 12 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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