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Simplifying -2(y + -5y) + 8 = -5(3y + -1y) + 6 + 17y Combine like terms: y + -5y = -4y -2(-4y) + 8 = -5(3y + -1y) + 6 + 17y Remove parenthesis around (-4y) -2 * -4y + 8 = -5(3y + -1y) + 6 + 17y Multiply -2 * -4 8y + 8 = -5(3y + -1y) + 6 + 17y Reorder the terms: 8 + 8y = -5(3y + -1y) + 6 + 17y Combine like terms: 3y + -1y = 2y 8 + 8y = -5(2y) + 6 + 17y Remove parenthesis around (2y) 8 + 8y = -5 * 2y + 6 + 17y Multiply -5 * 2 8 + 8y = -10y + 6 + 17y Reorder the terms: 8 + 8y = 6 + -10y + 17y Combine like terms: -10y + 17y = 7y 8 + 8y = 6 + 7y Solving 8 + 8y = 6 + 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. 8 + 8y + -7y = 6 + 7y + -7y Combine like terms: 8y + -7y = 1y 8 + 1y = 6 + 7y + -7y Combine like terms: 7y + -7y = 0 8 + 1y = 6 + 0 8 + 1y = 6 Add '-8' to each side of the equation. 8 + -8 + 1y = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 6 + -8 1y = 6 + -8 Combine like terms: 6 + -8 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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