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Simplifying 5y + 35 = 6y + -12 Reorder the terms: 35 + 5y = 6y + -12 Reorder the terms: 35 + 5y = -12 + 6y Solving 35 + 5y = -12 + 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. 35 + 5y + -6y = -12 + 6y + -6y Combine like terms: 5y + -6y = -1y 35 + -1y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 35 + -1y = -12 + 0 35 + -1y = -12 Add '-35' to each side of the equation. 35 + -35 + -1y = -12 + -35 Combine like terms: 35 + -35 = 0 0 + -1y = -12 + -35 -1y = -12 + -35 Combine like terms: -12 + -35 = -47 -1y = -47 Divide each side by '-1'. y = 47 Simplifying y = 47
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