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Simplifying -6 + -3(7y + -1) = 5(5y + 4) + -3 Reorder the terms: -6 + -3(-1 + 7y) = 5(5y + 4) + -3 -6 + (-1 * -3 + 7y * -3) = 5(5y + 4) + -3 -6 + (3 + -21y) = 5(5y + 4) + -3 Combine like terms: -6 + 3 = -3 -3 + -21y = 5(5y + 4) + -3 Reorder the terms: -3 + -21y = 5(4 + 5y) + -3 -3 + -21y = (4 * 5 + 5y * 5) + -3 -3 + -21y = (20 + 25y) + -3 Reorder the terms: -3 + -21y = 20 + -3 + 25y Combine like terms: 20 + -3 = 17 -3 + -21y = 17 + 25y Solving -3 + -21y = 17 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. -3 + -21y + -25y = 17 + 25y + -25y Combine like terms: -21y + -25y = -46y -3 + -46y = 17 + 25y + -25y Combine like terms: 25y + -25y = 0 -3 + -46y = 17 + 0 -3 + -46y = 17 Add '3' to each side of the equation. -3 + 3 + -46y = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -46y = 17 + 3 -46y = 17 + 3 Combine like terms: 17 + 3 = 20 -46y = 20 Divide each side by '-46'. y = -0.4347826087 Simplifying y = -0.4347826087
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