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Simplifying 8y + 13 = 7y + 5y + -11 Reorder the terms: 13 + 8y = 7y + 5y + -11 Reorder the terms: 13 + 8y = -11 + 7y + 5y Combine like terms: 7y + 5y = 12y 13 + 8y = -11 + 12y Solving 13 + 8y = -11 + 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 + 8y + -12y = -11 + 12y + -12y Combine like terms: 8y + -12y = -4y 13 + -4y = -11 + 12y + -12y Combine like terms: 12y + -12y = 0 13 + -4y = -11 + 0 13 + -4y = -11 Add '-13' to each side of the equation. 13 + -13 + -4y = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -4y = -11 + -13 -4y = -11 + -13 Combine like terms: -11 + -13 = -24 -4y = -24 Divide each side by '-4'. y = 6 Simplifying y = 6
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