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Simplifying 2y + 32 = -4(y + 1) Reorder the terms: 32 + 2y = -4(y + 1) Reorder the terms: 32 + 2y = -4(1 + y) 32 + 2y = (1 * -4 + y * -4) 32 + 2y = (-4 + -4y) Solving 32 + 2y = -4 + -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 + 2y + 4y = -4 + -4y + 4y Combine like terms: 2y + 4y = 6y 32 + 6y = -4 + -4y + 4y Combine like terms: -4y + 4y = 0 32 + 6y = -4 + 0 32 + 6y = -4 Add '-32' to each side of the equation. 32 + -32 + 6y = -4 + -32 Combine like terms: 32 + -32 = 0 0 + 6y = -4 + -32 6y = -4 + -32 Combine like terms: -4 + -32 = -36 6y = -36 Divide each side by '6'. y = -6 Simplifying y = -6
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