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