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Simplifying 4y + 14 = 6y + 32 Reorder the terms: 14 + 4y = 6y + 32 Reorder the terms: 14 + 4y = 32 + 6y Solving 14 + 4y = 32 + 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. 14 + 4y + -6y = 32 + 6y + -6y Combine like terms: 4y + -6y = -2y 14 + -2y = 32 + 6y + -6y Combine like terms: 6y + -6y = 0 14 + -2y = 32 + 0 14 + -2y = 32 Add '-14' to each side of the equation. 14 + -14 + -2y = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -2y = 32 + -14 -2y = 32 + -14 Combine like terms: 32 + -14 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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