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Simplifying 7 + -9y + -12 = 3y + 5 + -8y Reorder the terms: 7 + -12 + -9y = 3y + 5 + -8y Combine like terms: 7 + -12 = -5 -5 + -9y = 3y + 5 + -8y Reorder the terms: -5 + -9y = 5 + 3y + -8y Combine like terms: 3y + -8y = -5y -5 + -9y = 5 + -5y Solving -5 + -9y = 5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -5 + -9y + 5y = 5 + -5y + 5y Combine like terms: -9y + 5y = -4y -5 + -4y = 5 + -5y + 5y Combine like terms: -5y + 5y = 0 -5 + -4y = 5 + 0 -5 + -4y = 5 Add '5' to each side of the equation. -5 + 5 + -4y = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -4y = 5 + 5 -4y = 5 + 5 Combine like terms: 5 + 5 = 10 -4y = 10 Divide each side by '-4'. y = -2.5 Simplifying y = -2.5
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