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Simplifying 4(2y + -6) = 78 + 2y Reorder the terms: 4(-6 + 2y) = 78 + 2y (-6 * 4 + 2y * 4) = 78 + 2y (-24 + 8y) = 78 + 2y Solving -24 + 8y = 78 + 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 + 8y + -2y = 78 + 2y + -2y Combine like terms: 8y + -2y = 6y -24 + 6y = 78 + 2y + -2y Combine like terms: 2y + -2y = 0 -24 + 6y = 78 + 0 -24 + 6y = 78 Add '24' to each side of the equation. -24 + 24 + 6y = 78 + 24 Combine like terms: -24 + 24 = 0 0 + 6y = 78 + 24 6y = 78 + 24 Combine like terms: 78 + 24 = 102 6y = 102 Divide each side by '6'. y = 17 Simplifying y = 17
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