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Simplifying 5y + -8 = 12y + 13 Reorder the terms: -8 + 5y = 12y + 13 Reorder the terms: -8 + 5y = 13 + 12y Solving -8 + 5y = 13 + 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. -8 + 5y + -12y = 13 + 12y + -12y Combine like terms: 5y + -12y = -7y -8 + -7y = 13 + 12y + -12y Combine like terms: 12y + -12y = 0 -8 + -7y = 13 + 0 -8 + -7y = 13 Add '8' to each side of the equation. -8 + 8 + -7y = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -7y = 13 + 8 -7y = 13 + 8 Combine like terms: 13 + 8 = 21 -7y = 21 Divide each side by '-7'. y = -3 Simplifying y = -3
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