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Simplifying -4(y + -3y) + 4 = -5(3y + -1y) + 7 + 17y Combine like terms: y + -3y = -2y -4(-2y) + 4 = -5(3y + -1y) + 7 + 17y Remove parenthesis around (-2y) -4 * -2y + 4 = -5(3y + -1y) + 7 + 17y Multiply -4 * -2 8y + 4 = -5(3y + -1y) + 7 + 17y Reorder the terms: 4 + 8y = -5(3y + -1y) + 7 + 17y Combine like terms: 3y + -1y = 2y 4 + 8y = -5(2y) + 7 + 17y Remove parenthesis around (2y) 4 + 8y = -5 * 2y + 7 + 17y Multiply -5 * 2 4 + 8y = -10y + 7 + 17y Reorder the terms: 4 + 8y = 7 + -10y + 17y Combine like terms: -10y + 17y = 7y 4 + 8y = 7 + 7y Solving 4 + 8y = 7 + 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. 4 + 8y + -7y = 7 + 7y + -7y Combine like terms: 8y + -7y = 1y 4 + 1y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 4 + 1y = 7 + 0 4 + 1y = 7 Add '-4' to each side of the equation. 4 + -4 + 1y = 7 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 7 + -4 1y = 7 + -4 Combine like terms: 7 + -4 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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