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Simplifying 4(7y + -1) + 5 = -2(3y + 4) + -3 Reorder the terms: 4(-1 + 7y) + 5 = -2(3y + 4) + -3 (-1 * 4 + 7y * 4) + 5 = -2(3y + 4) + -3 (-4 + 28y) + 5 = -2(3y + 4) + -3 Reorder the terms: -4 + 5 + 28y = -2(3y + 4) + -3 Combine like terms: -4 + 5 = 1 1 + 28y = -2(3y + 4) + -3 Reorder the terms: 1 + 28y = -2(4 + 3y) + -3 1 + 28y = (4 * -2 + 3y * -2) + -3 1 + 28y = (-8 + -6y) + -3 Reorder the terms: 1 + 28y = -8 + -3 + -6y Combine like terms: -8 + -3 = -11 1 + 28y = -11 + -6y Solving 1 + 28y = -11 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 1 + 28y + 6y = -11 + -6y + 6y Combine like terms: 28y + 6y = 34y 1 + 34y = -11 + -6y + 6y Combine like terms: -6y + 6y = 0 1 + 34y = -11 + 0 1 + 34y = -11 Add '-1' to each side of the equation. 1 + -1 + 34y = -11 + -1 Combine like terms: 1 + -1 = 0 0 + 34y = -11 + -1 34y = -11 + -1 Combine like terms: -11 + -1 = -12 34y = -12 Divide each side by '34'. y = -0.3529411765 Simplifying y = -0.3529411765
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