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Simplifying 7y + 13 = 12y + -7 Reorder the terms: 13 + 7y = 12y + -7 Reorder the terms: 13 + 7y = -7 + 12y Solving 13 + 7y = -7 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 13 + 7y + -12y = -7 + 12y + -12y Combine like terms: 7y + -12y = -5y 13 + -5y = -7 + 12y + -12y Combine like terms: 12y + -12y = 0 13 + -5y = -7 + 0 13 + -5y = -7 Add '-13' to each side of the equation. 13 + -13 + -5y = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -5y = -7 + -13 -5y = -7 + -13 Combine like terms: -7 + -13 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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