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Simplifying 3y + 5 = 7y + -47 Reorder the terms: 5 + 3y = 7y + -47 Reorder the terms: 5 + 3y = -47 + 7y Solving 5 + 3y = -47 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 5 + 3y + -7y = -47 + 7y + -7y Combine like terms: 3y + -7y = -4y 5 + -4y = -47 + 7y + -7y Combine like terms: 7y + -7y = 0 5 + -4y = -47 + 0 5 + -4y = -47 Add '-5' to each side of the equation. 5 + -5 + -4y = -47 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = -47 + -5 -4y = -47 + -5 Combine like terms: -47 + -5 = -52 -4y = -52 Divide each side by '-4'. y = 13 Simplifying y = 13
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