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Simplifying 5(2y + -1) + 12 = 6(4y + 5) + -15 Reorder the terms: 5(-1 + 2y) + 12 = 6(4y + 5) + -15 (-1 * 5 + 2y * 5) + 12 = 6(4y + 5) + -15 (-5 + 10y) + 12 = 6(4y + 5) + -15 Reorder the terms: -5 + 12 + 10y = 6(4y + 5) + -15 Combine like terms: -5 + 12 = 7 7 + 10y = 6(4y + 5) + -15 Reorder the terms: 7 + 10y = 6(5 + 4y) + -15 7 + 10y = (5 * 6 + 4y * 6) + -15 7 + 10y = (30 + 24y) + -15 Reorder the terms: 7 + 10y = 30 + -15 + 24y Combine like terms: 30 + -15 = 15 7 + 10y = 15 + 24y Solving 7 + 10y = 15 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 7 + 10y + -24y = 15 + 24y + -24y Combine like terms: 10y + -24y = -14y 7 + -14y = 15 + 24y + -24y Combine like terms: 24y + -24y = 0 7 + -14y = 15 + 0 7 + -14y = 15 Add '-7' to each side of the equation. 7 + -7 + -14y = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -14y = 15 + -7 -14y = 15 + -7 Combine like terms: 15 + -7 = 8 -14y = 8 Divide each side by '-14'. y = -0.5714285714 Simplifying y = -0.5714285714
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