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Simplifying -4(2y + -4) + 23 = 6(6y + 2) + 10 Reorder the terms: -4(-4 + 2y) + 23 = 6(6y + 2) + 10 (-4 * -4 + 2y * -4) + 23 = 6(6y + 2) + 10 (16 + -8y) + 23 = 6(6y + 2) + 10 Reorder the terms: 16 + 23 + -8y = 6(6y + 2) + 10 Combine like terms: 16 + 23 = 39 39 + -8y = 6(6y + 2) + 10 Reorder the terms: 39 + -8y = 6(2 + 6y) + 10 39 + -8y = (2 * 6 + 6y * 6) + 10 39 + -8y = (12 + 36y) + 10 Reorder the terms: 39 + -8y = 12 + 10 + 36y Combine like terms: 12 + 10 = 22 39 + -8y = 22 + 36y Solving 39 + -8y = 22 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. 39 + -8y + -36y = 22 + 36y + -36y Combine like terms: -8y + -36y = -44y 39 + -44y = 22 + 36y + -36y Combine like terms: 36y + -36y = 0 39 + -44y = 22 + 0 39 + -44y = 22 Add '-39' to each side of the equation. 39 + -39 + -44y = 22 + -39 Combine like terms: 39 + -39 = 0 0 + -44y = 22 + -39 -44y = 22 + -39 Combine like terms: 22 + -39 = -17 -44y = -17 Divide each side by '-44'. y = 0.3863636364 Simplifying y = 0.3863636364
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