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Simplifying -5(y + 4) + -12 = 43 Reorder the terms: -5(4 + y) + -12 = 43 (4 * -5 + y * -5) + -12 = 43 (-20 + -5y) + -12 = 43 Reorder the terms: -20 + -12 + -5y = 43 Combine like terms: -20 + -12 = -32 -32 + -5y = 43 Solving -32 + -5y = 43 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -5y = 43 + 32 Combine like terms: -32 + 32 = 0 0 + -5y = 43 + 32 -5y = 43 + 32 Combine like terms: 43 + 32 = 75 -5y = 75 Divide each side by '-5'. y = -15 Simplifying y = -15
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