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Simplifying 9y + -32 = 4(y + 2) Reorder the terms: -32 + 9y = 4(y + 2) Reorder the terms: -32 + 9y = 4(2 + y) -32 + 9y = (2 * 4 + y * 4) -32 + 9y = (8 + 4y) Solving -32 + 9y = 8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -32 + 9y + -4y = 8 + 4y + -4y Combine like terms: 9y + -4y = 5y -32 + 5y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 -32 + 5y = 8 + 0 -32 + 5y = 8 Add '32' to each side of the equation. -32 + 32 + 5y = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 5y = 8 + 32 5y = 8 + 32 Combine like terms: 8 + 32 = 40 5y = 40 Divide each side by '5'. y = 8 Simplifying y = 8
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