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Simplifying y + 7 = 6y + -3 Reorder the terms: 7 + y = 6y + -3 Reorder the terms: 7 + y = -3 + 6y Solving 7 + y = -3 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 7 + y + -6y = -3 + 6y + -6y Combine like terms: y + -6y = -5y 7 + -5y = -3 + 6y + -6y Combine like terms: 6y + -6y = 0 7 + -5y = -3 + 0 7 + -5y = -3 Add '-7' to each side of the equation. 7 + -7 + -5y = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = -3 + -7 -5y = -3 + -7 Combine like terms: -3 + -7 = -10 -5y = -10 Divide each side by '-5'. y = 2 Simplifying y = 2
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