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Simplifying 7(y + -4) + -1 = -5(-6y + 7) + -5y Reorder the terms: 7(-4 + y) + -1 = -5(-6y + 7) + -5y (-4 * 7 + y * 7) + -1 = -5(-6y + 7) + -5y (-28 + 7y) + -1 = -5(-6y + 7) + -5y Reorder the terms: -28 + -1 + 7y = -5(-6y + 7) + -5y Combine like terms: -28 + -1 = -29 -29 + 7y = -5(-6y + 7) + -5y Reorder the terms: -29 + 7y = -5(7 + -6y) + -5y -29 + 7y = (7 * -5 + -6y * -5) + -5y -29 + 7y = (-35 + 30y) + -5y Combine like terms: 30y + -5y = 25y -29 + 7y = -35 + 25y Solving -29 + 7y = -35 + 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. -29 + 7y + -25y = -35 + 25y + -25y Combine like terms: 7y + -25y = -18y -29 + -18y = -35 + 25y + -25y Combine like terms: 25y + -25y = 0 -29 + -18y = -35 + 0 -29 + -18y = -35 Add '29' to each side of the equation. -29 + 29 + -18y = -35 + 29 Combine like terms: -29 + 29 = 0 0 + -18y = -35 + 29 -18y = -35 + 29 Combine like terms: -35 + 29 = -6 -18y = -6 Divide each side by '-18'. y = 0.3333333333 Simplifying y = 0.3333333333
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