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Simplifying 3y + -1(5 + -7y) = -4y + -1(2y + -7) 3y + (5 * -1 + -7y * -1) = -4y + -1(2y + -7) 3y + (-5 + 7y) = -4y + -1(2y + -7) Reorder the terms: -5 + 3y + 7y = -4y + -1(2y + -7) Combine like terms: 3y + 7y = 10y -5 + 10y = -4y + -1(2y + -7) Reorder the terms: -5 + 10y = -4y + -1(-7 + 2y) -5 + 10y = -4y + (-7 * -1 + 2y * -1) -5 + 10y = -4y + (7 + -2y) Reorder the terms: -5 + 10y = 7 + -4y + -2y Combine like terms: -4y + -2y = -6y -5 + 10y = 7 + -6y Solving -5 + 10y = 7 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -5 + 10y + 6y = 7 + -6y + 6y Combine like terms: 10y + 6y = 16y -5 + 16y = 7 + -6y + 6y Combine like terms: -6y + 6y = 0 -5 + 16y = 7 + 0 -5 + 16y = 7 Add '5' to each side of the equation. -5 + 5 + 16y = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 16y = 7 + 5 16y = 7 + 5 Combine like terms: 7 + 5 = 12 16y = 12 Divide each side by '16'. y = 0.75 Simplifying y = 0.75
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