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Simplifying -4y + -9 = 2y + 21 Reorder the terms: -9 + -4y = 2y + 21 Reorder the terms: -9 + -4y = 21 + 2y Solving -9 + -4y = 21 + 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 + -4y + -2y = 21 + 2y + -2y Combine like terms: -4y + -2y = -6y -9 + -6y = 21 + 2y + -2y Combine like terms: 2y + -2y = 0 -9 + -6y = 21 + 0 -9 + -6y = 21 Add '9' to each side of the equation. -9 + 9 + -6y = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -6y = 21 + 9 -6y = 21 + 9 Combine like terms: 21 + 9 = 30 -6y = 30 Divide each side by '-6'. y = -5 Simplifying y = -5
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