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Simplifying -3y + 4(5y + -1) = 3 + -7(1 + -1y) Reorder the terms: -3y + 4(-1 + 5y) = 3 + -7(1 + -1y) -3y + (-1 * 4 + 5y * 4) = 3 + -7(1 + -1y) -3y + (-4 + 20y) = 3 + -7(1 + -1y) Reorder the terms: -4 + -3y + 20y = 3 + -7(1 + -1y) Combine like terms: -3y + 20y = 17y -4 + 17y = 3 + -7(1 + -1y) -4 + 17y = 3 + (1 * -7 + -1y * -7) -4 + 17y = 3 + (-7 + 7y) Combine like terms: 3 + -7 = -4 -4 + 17y = -4 + 7y Add '4' to each side of the equation. -4 + 4 + 17y = -4 + 4 + 7y Combine like terms: -4 + 4 = 0 0 + 17y = -4 + 4 + 7y 17y = -4 + 4 + 7y Combine like terms: -4 + 4 = 0 17y = 0 + 7y 17y = 7y Solving 17y = 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. 17y + -7y = 7y + -7y Combine like terms: 17y + -7y = 10y 10y = 7y + -7y Combine like terms: 7y + -7y = 0 10y = 0 Divide each side by '10'. y = 0.0 Simplifying y = 0.0
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