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Simplifying -4(y + 8) = -3y + -7 Reorder the terms: -4(8 + y) = -3y + -7 (8 * -4 + y * -4) = -3y + -7 (-32 + -4y) = -3y + -7 Reorder the terms: -32 + -4y = -7 + -3y Solving -32 + -4y = -7 + -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. -32 + -4y + 3y = -7 + -3y + 3y Combine like terms: -4y + 3y = -1y -32 + -1y = -7 + -3y + 3y Combine like terms: -3y + 3y = 0 -32 + -1y = -7 + 0 -32 + -1y = -7 Add '32' to each side of the equation. -32 + 32 + -1y = -7 + 32 Combine like terms: -32 + 32 = 0 0 + -1y = -7 + 32 -1y = -7 + 32 Combine like terms: -7 + 32 = 25 -1y = 25 Divide each side by '-1'. y = -25 Simplifying y = -25
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