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Simplifying 5y + 12 = 2y + -13 Reorder the terms: 12 + 5y = 2y + -13 Reorder the terms: 12 + 5y = -13 + 2y Solving 12 + 5y = -13 + 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. 12 + 5y + -2y = -13 + 2y + -2y Combine like terms: 5y + -2y = 3y 12 + 3y = -13 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 3y = -13 + 0 12 + 3y = -13 Add '-12' to each side of the equation. 12 + -12 + 3y = -13 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -13 + -12 3y = -13 + -12 Combine like terms: -13 + -12 = -25 3y = -25 Divide each side by '3'. y = -8.333333333 Simplifying y = -8.333333333
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