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Simplifying 6(y + -4) = 2(y + -4) + -8(2 + -4) Reorder the terms: 6(-4 + y) = 2(y + -4) + -8(2 + -4) (-4 * 6 + y * 6) = 2(y + -4) + -8(2 + -4) (-24 + 6y) = 2(y + -4) + -8(2 + -4) Reorder the terms: -24 + 6y = 2(-4 + y) + -8(2 + -4) -24 + 6y = (-4 * 2 + y * 2) + -8(2 + -4) -24 + 6y = (-8 + 2y) + -8(2 + -4) Combine like terms: 2 + -4 = -2 -24 + 6y = -8 + 2y + -8(-2) Multiply -8 * -2 -24 + 6y = -8 + 2y + 16 Reorder the terms: -24 + 6y = -8 + 16 + 2y Combine like terms: -8 + 16 = 8 -24 + 6y = 8 + 2y Solving -24 + 6y = 8 + 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 = 8 + 2y + -2y Combine like terms: 6y + -2y = 4y -24 + 4y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -24 + 4y = 8 + 0 -24 + 4y = 8 Add '24' to each side of the equation. -24 + 24 + 4y = 8 + 24 Combine like terms: -24 + 24 = 0 0 + 4y = 8 + 24 4y = 8 + 24 Combine like terms: 8 + 24 = 32 4y = 32 Divide each side by '4'. y = 8 Simplifying y = 8
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