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Simplifying -3(8 + 2y) = 2(y + -8) (8 * -3 + 2y * -3) = 2(y + -8) (-24 + -6y) = 2(y + -8) Reorder the terms: -24 + -6y = 2(-8 + y) -24 + -6y = (-8 * 2 + y * 2) -24 + -6y = (-16 + 2y) Solving -24 + -6y = -16 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -24 + -6y + -2y = -16 + 2y + -2y Combine like terms: -6y + -2y = -8y -24 + -8y = -16 + 2y + -2y Combine like terms: 2y + -2y = 0 -24 + -8y = -16 + 0 -24 + -8y = -16 Add '24' to each side of the equation. -24 + 24 + -8y = -16 + 24 Combine like terms: -24 + 24 = 0 0 + -8y = -16 + 24 -8y = -16 + 24 Combine like terms: -16 + 24 = 8 -8y = 8 Divide each side by '-8'. y = -1 Simplifying y = -1
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