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Simplifying -4(-8y + 5) + -7y = 7(y + -3) + -2 Reorder the terms: -4(5 + -8y) + -7y = 7(y + -3) + -2 (5 * -4 + -8y * -4) + -7y = 7(y + -3) + -2 (-20 + 32y) + -7y = 7(y + -3) + -2 Combine like terms: 32y + -7y = 25y -20 + 25y = 7(y + -3) + -2 Reorder the terms: -20 + 25y = 7(-3 + y) + -2 -20 + 25y = (-3 * 7 + y * 7) + -2 -20 + 25y = (-21 + 7y) + -2 Reorder the terms: -20 + 25y = -21 + -2 + 7y Combine like terms: -21 + -2 = -23 -20 + 25y = -23 + 7y Solving -20 + 25y = -23 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -20 + 25y + -7y = -23 + 7y + -7y Combine like terms: 25y + -7y = 18y -20 + 18y = -23 + 7y + -7y Combine like terms: 7y + -7y = 0 -20 + 18y = -23 + 0 -20 + 18y = -23 Add '20' to each side of the equation. -20 + 20 + 18y = -23 + 20 Combine like terms: -20 + 20 = 0 0 + 18y = -23 + 20 18y = -23 + 20 Combine like terms: -23 + 20 = -3 18y = -3 Divide each side by '18'. y = -0.1666666667 Simplifying y = -0.1666666667
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