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Simplifying 6y + 32 = 4(y + 7) Reorder the terms: 32 + 6y = 4(y + 7) Reorder the terms: 32 + 6y = 4(7 + y) 32 + 6y = (7 * 4 + y * 4) 32 + 6y = (28 + 4y) Solving 32 + 6y = 28 + 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 + 6y + -4y = 28 + 4y + -4y Combine like terms: 6y + -4y = 2y 32 + 2y = 28 + 4y + -4y Combine like terms: 4y + -4y = 0 32 + 2y = 28 + 0 32 + 2y = 28 Add '-32' to each side of the equation. 32 + -32 + 2y = 28 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 28 + -32 2y = 28 + -32 Combine like terms: 28 + -32 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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