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Simplifying 4(y + -1) + -6 = -5(-5y + 4) + -7y Reorder the terms: 4(-1 + y) + -6 = -5(-5y + 4) + -7y (-1 * 4 + y * 4) + -6 = -5(-5y + 4) + -7y (-4 + 4y) + -6 = -5(-5y + 4) + -7y Reorder the terms: -4 + -6 + 4y = -5(-5y + 4) + -7y Combine like terms: -4 + -6 = -10 -10 + 4y = -5(-5y + 4) + -7y Reorder the terms: -10 + 4y = -5(4 + -5y) + -7y -10 + 4y = (4 * -5 + -5y * -5) + -7y -10 + 4y = (-20 + 25y) + -7y Combine like terms: 25y + -7y = 18y -10 + 4y = -20 + 18y Solving -10 + 4y = -20 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -10 + 4y + -18y = -20 + 18y + -18y Combine like terms: 4y + -18y = -14y -10 + -14y = -20 + 18y + -18y Combine like terms: 18y + -18y = 0 -10 + -14y = -20 + 0 -10 + -14y = -20 Add '10' to each side of the equation. -10 + 10 + -14y = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -14y = -20 + 10 -14y = -20 + 10 Combine like terms: -20 + 10 = -10 -14y = -10 Divide each side by '-14'. y = 0.7142857143 Simplifying y = 0.7142857143
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