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Simplifying 3(2y + -8) = 4y + -7 Reorder the terms: 3(-8 + 2y) = 4y + -7 (-8 * 3 + 2y * 3) = 4y + -7 (-24 + 6y) = 4y + -7 Reorder the terms: -24 + 6y = -7 + 4y Solving -24 + 6y = -7 + 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. -24 + 6y + -4y = -7 + 4y + -4y Combine like terms: 6y + -4y = 2y -24 + 2y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 -24 + 2y = -7 + 0 -24 + 2y = -7 Add '24' to each side of the equation. -24 + 24 + 2y = -7 + 24 Combine like terms: -24 + 24 = 0 0 + 2y = -7 + 24 2y = -7 + 24 Combine like terms: -7 + 24 = 17 2y = 17 Divide each side by '2'. y = 8.5 Simplifying y = 8.5
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