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Simplifying y + -1(5 + -2y) = 7(y + -1) + -2 y + (5 * -1 + -2y * -1) = 7(y + -1) + -2 y + (-5 + 2y) = 7(y + -1) + -2 Reorder the terms: -5 + y + 2y = 7(y + -1) + -2 Combine like terms: y + 2y = 3y -5 + 3y = 7(y + -1) + -2 Reorder the terms: -5 + 3y = 7(-1 + y) + -2 -5 + 3y = (-1 * 7 + y * 7) + -2 -5 + 3y = (-7 + 7y) + -2 Reorder the terms: -5 + 3y = -7 + -2 + 7y Combine like terms: -7 + -2 = -9 -5 + 3y = -9 + 7y Solving -5 + 3y = -9 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -5 + 3y + -7y = -9 + 7y + -7y Combine like terms: 3y + -7y = -4y -5 + -4y = -9 + 7y + -7y Combine like terms: 7y + -7y = 0 -5 + -4y = -9 + 0 -5 + -4y = -9 Add '5' to each side of the equation. -5 + 5 + -4y = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -4y = -9 + 5 -4y = -9 + 5 Combine like terms: -9 + 5 = -4 -4y = -4 Divide each side by '-4'. y = 1 Simplifying y = 1
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