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Simplifying -5y + -9 = 2y + 12 Reorder the terms: -9 + -5y = 2y + 12 Reorder the terms: -9 + -5y = 12 + 2y Solving -9 + -5y = 12 + 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. -9 + -5y + -2y = 12 + 2y + -2y Combine like terms: -5y + -2y = -7y -9 + -7y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -9 + -7y = 12 + 0 -9 + -7y = 12 Add '9' to each side of the equation. -9 + 9 + -7y = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -7y = 12 + 9 -7y = 12 + 9 Combine like terms: 12 + 9 = 21 -7y = 21 Divide each side by '-7'. y = -3 Simplifying y = -3
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