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Simplifying -5y + -12 = 7y + 24 Reorder the terms: -12 + -5y = 7y + 24 Reorder the terms: -12 + -5y = 24 + 7y Solving -12 + -5y = 24 + 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. -12 + -5y + -7y = 24 + 7y + -7y Combine like terms: -5y + -7y = -12y -12 + -12y = 24 + 7y + -7y Combine like terms: 7y + -7y = 0 -12 + -12y = 24 + 0 -12 + -12y = 24 Add '12' to each side of the equation. -12 + 12 + -12y = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -12y = 24 + 12 -12y = 24 + 12 Combine like terms: 24 + 12 = 36 -12y = 36 Divide each side by '-12'. y = -3 Simplifying y = -3
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