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Simplifying -4y + 24 = 2(3y + -8) Reorder the terms: 24 + -4y = 2(3y + -8) Reorder the terms: 24 + -4y = 2(-8 + 3y) 24 + -4y = (-8 * 2 + 3y * 2) 24 + -4y = (-16 + 6y) Solving 24 + -4y = -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. 24 + -4y + -6y = -16 + 6y + -6y Combine like terms: -4y + -6y = -10y 24 + -10y = -16 + 6y + -6y Combine like terms: 6y + -6y = 0 24 + -10y = -16 + 0 24 + -10y = -16 Add '-24' to each side of the equation. 24 + -24 + -10y = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -10y = -16 + -24 -10y = -16 + -24 Combine like terms: -16 + -24 = -40 -10y = -40 Divide each side by '-10'. y = 4 Simplifying y = 4
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