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Simplifying 4y + -4 + 6 = 32 + -2y Reorder the terms: -4 + 6 + 4y = 32 + -2y Combine like terms: -4 + 6 = 2 2 + 4y = 32 + -2y Solving 2 + 4y = 32 + -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. 2 + 4y + 2y = 32 + -2y + 2y Combine like terms: 4y + 2y = 6y 2 + 6y = 32 + -2y + 2y Combine like terms: -2y + 2y = 0 2 + 6y = 32 + 0 2 + 6y = 32 Add '-2' to each side of the equation. 2 + -2 + 6y = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 6y = 32 + -2 6y = 32 + -2 Combine like terms: 32 + -2 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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