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Simplifying -32 = -6y + 4(y + -6) Reorder the terms: -32 = -6y + 4(-6 + y) -32 = -6y + (-6 * 4 + y * 4) -32 = -6y + (-24 + 4y) Reorder the terms: -32 = -24 + -6y + 4y Combine like terms: -6y + 4y = -2y -32 = -24 + -2y Solving -32 = -24 + -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 = -24 + -2y + 2y Combine like terms: -2y + 2y = 0 -32 + 2y = -24 + 0 -32 + 2y = -24 Add '32' to each side of the equation. -32 + 32 + 2y = -24 + 32 Combine like terms: -32 + 32 = 0 0 + 2y = -24 + 32 2y = -24 + 32 Combine like terms: -24 + 32 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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