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Simplifying -5 = -5y + 8(y + -4) Reorder the terms: -5 = -5y + 8(-4 + y) -5 = -5y + (-4 * 8 + y * 8) -5 = -5y + (-32 + 8y) Reorder the terms: -5 = -32 + -5y + 8y Combine like terms: -5y + 8y = 3y -5 = -32 + 3y Solving -5 = -32 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -5 + -3y = -32 + 3y + -3y Combine like terms: 3y + -3y = 0 -5 + -3y = -32 + 0 -5 + -3y = -32 Add '5' to each side of the equation. -5 + 5 + -3y = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -3y = -32 + 5 -3y = -32 + 5 Combine like terms: -32 + 5 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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