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Simplifying 3y + 32 = 4(2y + 3) Reorder the terms: 32 + 3y = 4(2y + 3) Reorder the terms: 32 + 3y = 4(3 + 2y) 32 + 3y = (3 * 4 + 2y * 4) 32 + 3y = (12 + 8y) Solving 32 + 3y = 12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 32 + 3y + -8y = 12 + 8y + -8y Combine like terms: 3y + -8y = -5y 32 + -5y = 12 + 8y + -8y Combine like terms: 8y + -8y = 0 32 + -5y = 12 + 0 32 + -5y = 12 Add '-32' to each side of the equation. 32 + -32 + -5y = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -5y = 12 + -32 -5y = 12 + -32 Combine like terms: 12 + -32 = -20 -5y = -20 Divide each side by '-5'. y = 4 Simplifying y = 4
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