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Simplifying -32 = -4(2y + 3) + 4 Reorder the terms: -32 = -4(3 + 2y) + 4 -32 = (3 * -4 + 2y * -4) + 4 -32 = (-12 + -8y) + 4 Reorder the terms: -32 = -12 + 4 + -8y Combine like terms: -12 + 4 = -8 -32 = -8 + -8y Solving -32 = -8 + -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 + 8y = -8 + -8y + 8y Combine like terms: -8y + 8y = 0 -32 + 8y = -8 + 0 -32 + 8y = -8 Add '32' to each side of the equation. -32 + 32 + 8y = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 8y = -8 + 32 8y = -8 + 32 Combine like terms: -8 + 32 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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