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Simplifying 12y + 13 = 2y + -7 Reorder the terms: 13 + 12y = 2y + -7 Reorder the terms: 13 + 12y = -7 + 2y Solving 13 + 12y = -7 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 13 + 12y + -2y = -7 + 2y + -2y Combine like terms: 12y + -2y = 10y 13 + 10y = -7 + 2y + -2y Combine like terms: 2y + -2y = 0 13 + 10y = -7 + 0 13 + 10y = -7 Add '-13' to each side of the equation. 13 + -13 + 10y = -7 + -13 Combine like terms: 13 + -13 = 0 0 + 10y = -7 + -13 10y = -7 + -13 Combine like terms: -7 + -13 = -20 10y = -20 Divide each side by '10'. y = -2 Simplifying y = -2
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