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Simplifying 2(4y + -3) = 4y + -78 Reorder the terms: 2(-3 + 4y) = 4y + -78 (-3 * 2 + 4y * 2) = 4y + -78 (-6 + 8y) = 4y + -78 Reorder the terms: -6 + 8y = -78 + 4y Solving -6 + 8y = -78 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -6 + 8y + -4y = -78 + 4y + -4y Combine like terms: 8y + -4y = 4y -6 + 4y = -78 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + 4y = -78 + 0 -6 + 4y = -78 Add '6' to each side of the equation. -6 + 6 + 4y = -78 + 6 Combine like terms: -6 + 6 = 0 0 + 4y = -78 + 6 4y = -78 + 6 Combine like terms: -78 + 6 = -72 4y = -72 Divide each side by '4'. y = -18 Simplifying y = -18
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