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Simplifying -2(y + 4) = 2(3y + -4) + -8 Reorder the terms: -2(4 + y) = 2(3y + -4) + -8 (4 * -2 + y * -2) = 2(3y + -4) + -8 (-8 + -2y) = 2(3y + -4) + -8 Reorder the terms: -8 + -2y = 2(-4 + 3y) + -8 -8 + -2y = (-4 * 2 + 3y * 2) + -8 -8 + -2y = (-8 + 6y) + -8 Reorder the terms: -8 + -2y = -8 + -8 + 6y Combine like terms: -8 + -8 = -16 -8 + -2y = -16 + 6y Solving -8 + -2y = -16 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -8 + -2y + -6y = -16 + 6y + -6y Combine like terms: -2y + -6y = -8y -8 + -8y = -16 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + -8y = -16 + 0 -8 + -8y = -16 Add '8' to each side of the equation. -8 + 8 + -8y = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -8y = -16 + 8 -8y = -16 + 8 Combine like terms: -16 + 8 = -8 -8y = -8 Divide each side by '-8'. y = 1 Simplifying y = 1
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