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Simplifying 3x + -4y + 7x + -3y = 10x + -1y Reorder the terms: 3x + 7x + -4y + -3y = 10x + -1y Combine like terms: 3x + 7x = 10x 10x + -4y + -3y = 10x + -1y Combine like terms: -4y + -3y = -7y 10x + -7y = 10x + -1y Add '-10x' to each side of the equation. 10x + -10x + -7y = 10x + -10x + -1y Combine like terms: 10x + -10x = 0 0 + -7y = 10x + -10x + -1y -7y = 10x + -10x + -1y Combine like terms: 10x + -10x = 0 -7y = 0 + -1y -7y = -1y Solving -7y = -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -7y + y = -1y + y Combine like terms: -7y + y = -6y -6y = -1y + y Combine like terms: -1y + y = 0 -6y = 0 Divide each side by '-6'. y = 0 Simplifying y = 0
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