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Simplifying 32 = -6y + 4(y + 7) Reorder the terms: 32 = -6y + 4(7 + y) 32 = -6y + (7 * 4 + y * 4) 32 = -6y + (28 + 4y) Reorder the terms: 32 = 28 + -6y + 4y Combine like terms: -6y + 4y = -2y 32 = 28 + -2y Solving 32 = 28 + -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. 32 + 2y = 28 + -2y + 2y Combine like terms: -2y + 2y = 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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