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Simplifying 7(y + -1) = 5y + 5 + -2(-8y + -2) Reorder the terms: 7(-1 + y) = 5y + 5 + -2(-8y + -2) (-1 * 7 + y * 7) = 5y + 5 + -2(-8y + -2) (-7 + 7y) = 5y + 5 + -2(-8y + -2) Reorder the terms: -7 + 7y = 5y + 5 + -2(-2 + -8y) -7 + 7y = 5y + 5 + (-2 * -2 + -8y * -2) -7 + 7y = 5y + 5 + (4 + 16y) Reorder the terms: -7 + 7y = 5 + 4 + 5y + 16y Combine like terms: 5 + 4 = 9 -7 + 7y = 9 + 5y + 16y Combine like terms: 5y + 16y = 21y -7 + 7y = 9 + 21y Solving -7 + 7y = 9 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -7 + 7y + -21y = 9 + 21y + -21y Combine like terms: 7y + -21y = -14y -7 + -14y = 9 + 21y + -21y Combine like terms: 21y + -21y = 0 -7 + -14y = 9 + 0 -7 + -14y = 9 Add '7' to each side of the equation. -7 + 7 + -14y = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -14y = 9 + 7 -14y = 9 + 7 Combine like terms: 9 + 7 = 16 -14y = 16 Divide each side by '-14'. y = -1.142857143 Simplifying y = -1.142857143
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