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Simplifying -9y + -2 = -4(y + 8) Reorder the terms: -2 + -9y = -4(y + 8) Reorder the terms: -2 + -9y = -4(8 + y) -2 + -9y = (8 * -4 + y * -4) -2 + -9y = (-32 + -4y) Solving -2 + -9y = -32 + -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. -2 + -9y + 4y = -32 + -4y + 4y Combine like terms: -9y + 4y = -5y -2 + -5y = -32 + -4y + 4y Combine like terms: -4y + 4y = 0 -2 + -5y = -32 + 0 -2 + -5y = -32 Add '2' to each side of the equation. -2 + 2 + -5y = -32 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = -32 + 2 -5y = -32 + 2 Combine like terms: -32 + 2 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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