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Simplifying 3y + 5 + 4y + -1 = 9y + -12 Reorder the terms: 5 + -1 + 3y + 4y = 9y + -12 Combine like terms: 5 + -1 = 4 4 + 3y + 4y = 9y + -12 Combine like terms: 3y + 4y = 7y 4 + 7y = 9y + -12 Reorder the terms: 4 + 7y = -12 + 9y Solving 4 + 7y = -12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 4 + 7y + -9y = -12 + 9y + -9y Combine like terms: 7y + -9y = -2y 4 + -2y = -12 + 9y + -9y Combine like terms: 9y + -9y = 0 4 + -2y = -12 + 0 4 + -2y = -12 Add '-4' to each side of the equation. 4 + -4 + -2y = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -2y = -12 + -4 -2y = -12 + -4 Combine like terms: -12 + -4 = -16 -2y = -16 Divide each side by '-2'. y = 8 Simplifying y = 8
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