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Simplifying -5y + -13 = 7y + 11 Reorder the terms: -13 + -5y = 7y + 11 Reorder the terms: -13 + -5y = 11 + 7y Solving -13 + -5y = 11 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -13 + -5y + -7y = 11 + 7y + -7y Combine like terms: -5y + -7y = -12y -13 + -12y = 11 + 7y + -7y Combine like terms: 7y + -7y = 0 -13 + -12y = 11 + 0 -13 + -12y = 11 Add '13' to each side of the equation. -13 + 13 + -12y = 11 + 13 Combine like terms: -13 + 13 = 0 0 + -12y = 11 + 13 -12y = 11 + 13 Combine like terms: 11 + 13 = 24 -12y = 24 Divide each side by '-12'. y = -2 Simplifying y = -2
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