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Simplifying 7(y + -1) = 7y + 2 + -5(-2y + -1) Reorder the terms: 7(-1 + y) = 7y + 2 + -5(-2y + -1) (-1 * 7 + y * 7) = 7y + 2 + -5(-2y + -1) (-7 + 7y) = 7y + 2 + -5(-2y + -1) Reorder the terms: -7 + 7y = 7y + 2 + -5(-1 + -2y) -7 + 7y = 7y + 2 + (-1 * -5 + -2y * -5) -7 + 7y = 7y + 2 + (5 + 10y) Reorder the terms: -7 + 7y = 2 + 5 + 7y + 10y Combine like terms: 2 + 5 = 7 -7 + 7y = 7 + 7y + 10y Combine like terms: 7y + 10y = 17y -7 + 7y = 7 + 17y Solving -7 + 7y = 7 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. -7 + 7y + -17y = 7 + 17y + -17y Combine like terms: 7y + -17y = -10y -7 + -10y = 7 + 17y + -17y Combine like terms: 17y + -17y = 0 -7 + -10y = 7 + 0 -7 + -10y = 7 Add '7' to each side of the equation. -7 + 7 + -10y = 7 + 7 Combine like terms: -7 + 7 = 0 0 + -10y = 7 + 7 -10y = 7 + 7 Combine like terms: 7 + 7 = 14 -10y = 14 Divide each side by '-10'. y = -1.4 Simplifying y = -1.4
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