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Simplifying 22 + 2y + -6 = 9y + -12 + -3y Reorder the terms: 22 + -6 + 2y = 9y + -12 + -3y Combine like terms: 22 + -6 = 16 16 + 2y = 9y + -12 + -3y Reorder the terms: 16 + 2y = -12 + 9y + -3y Combine like terms: 9y + -3y = 6y 16 + 2y = -12 + 6y Solving 16 + 2y = -12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 16 + 2y + -6y = -12 + 6y + -6y Combine like terms: 2y + -6y = -4y 16 + -4y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 16 + -4y = -12 + 0 16 + -4y = -12 Add '-16' to each side of the equation. 16 + -16 + -4y = -12 + -16 Combine like terms: 16 + -16 = 0 0 + -4y = -12 + -16 -4y = -12 + -16 Combine like terms: -12 + -16 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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