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Simplifying 6(4y + -4) + 25 = 5(3y + -2) + 3 Reorder the terms: 6(-4 + 4y) + 25 = 5(3y + -2) + 3 (-4 * 6 + 4y * 6) + 25 = 5(3y + -2) + 3 (-24 + 24y) + 25 = 5(3y + -2) + 3 Reorder the terms: -24 + 25 + 24y = 5(3y + -2) + 3 Combine like terms: -24 + 25 = 1 1 + 24y = 5(3y + -2) + 3 Reorder the terms: 1 + 24y = 5(-2 + 3y) + 3 1 + 24y = (-2 * 5 + 3y * 5) + 3 1 + 24y = (-10 + 15y) + 3 Reorder the terms: 1 + 24y = -10 + 3 + 15y Combine like terms: -10 + 3 = -7 1 + 24y = -7 + 15y Solving 1 + 24y = -7 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 1 + 24y + -15y = -7 + 15y + -15y Combine like terms: 24y + -15y = 9y 1 + 9y = -7 + 15y + -15y Combine like terms: 15y + -15y = 0 1 + 9y = -7 + 0 1 + 9y = -7 Add '-1' to each side of the equation. 1 + -1 + 9y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = -7 + -1 9y = -7 + -1 Combine like terms: -7 + -1 = -8 9y = -8 Divide each side by '9'. y = -0.8888888889 Simplifying y = -0.8888888889
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