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Simplifying 4(7y + -1) + 5y = -2(3y + 4) + -3 Reorder the terms: 4(-1 + 7y) + 5y = -2(3y + 4) + -3 (-1 * 4 + 7y * 4) + 5y = -2(3y + 4) + -3 (-4 + 28y) + 5y = -2(3y + 4) + -3 Combine like terms: 28y + 5y = 33y -4 + 33y = -2(3y + 4) + -3 Reorder the terms: -4 + 33y = -2(4 + 3y) + -3 -4 + 33y = (4 * -2 + 3y * -2) + -3 -4 + 33y = (-8 + -6y) + -3 Reorder the terms: -4 + 33y = -8 + -3 + -6y Combine like terms: -8 + -3 = -11 -4 + 33y = -11 + -6y Solving -4 + 33y = -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. -4 + 33y + 6y = -11 + -6y + 6y Combine like terms: 33y + 6y = 39y -4 + 39y = -11 + -6y + 6y Combine like terms: -6y + 6y = 0 -4 + 39y = -11 + 0 -4 + 39y = -11 Add '4' to each side of the equation. -4 + 4 + 39y = -11 + 4 Combine like terms: -4 + 4 = 0 0 + 39y = -11 + 4 39y = -11 + 4 Combine like terms: -11 + 4 = -7 39y = -7 Divide each side by '39'. y = -0.1794871795 Simplifying y = -0.1794871795
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