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Simplifying -8(y + 1) = (1 + -4y) + -9 Reorder the terms: -8(1 + y) = (1 + -4y) + -9 (1 * -8 + y * -8) = (1 + -4y) + -9 (-8 + -8y) = (1 + -4y) + -9 Remove parenthesis around (1 + -4y) -8 + -8y = 1 + -4y + -9 Reorder the terms: -8 + -8y = 1 + -9 + -4y Combine like terms: 1 + -9 = -8 -8 + -8y = -8 + -4y Add '8' to each side of the equation. -8 + 8 + -8y = -8 + 8 + -4y Combine like terms: -8 + 8 = 0 0 + -8y = -8 + 8 + -4y -8y = -8 + 8 + -4y Combine like terms: -8 + 8 = 0 -8y = 0 + -4y -8y = -4y Solving -8y = -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. -8y + 4y = -4y + 4y Combine like terms: -8y + 4y = -4y -4y = -4y + 4y Combine like terms: -4y + 4y = 0 -4y = 0 Divide each side by '-4'. y = 0 Simplifying y = 0
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