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Simplifying -2(y + -5y) + 4 = -4(3y + -1y) + 1 + 15y Combine like terms: y + -5y = -4y -2(-4y) + 4 = -4(3y + -1y) + 1 + 15y Remove parenthesis around (-4y) -2 * -4y + 4 = -4(3y + -1y) + 1 + 15y Multiply -2 * -4 8y + 4 = -4(3y + -1y) + 1 + 15y Reorder the terms: 4 + 8y = -4(3y + -1y) + 1 + 15y Combine like terms: 3y + -1y = 2y 4 + 8y = -4(2y) + 1 + 15y Remove parenthesis around (2y) 4 + 8y = -4 * 2y + 1 + 15y Multiply -4 * 2 4 + 8y = -8y + 1 + 15y Reorder the terms: 4 + 8y = 1 + -8y + 15y Combine like terms: -8y + 15y = 7y 4 + 8y = 1 + 7y Solving 4 + 8y = 1 + 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 = 1 + 7y + -7y Combine like terms: 8y + -7y = 1y 4 + 1y = 1 + 7y + -7y Combine like terms: 7y + -7y = 0 4 + 1y = 1 + 0 4 + 1y = 1 Add '-4' to each side of the equation. 4 + -4 + 1y = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 1 + -4 1y = 1 + -4 Combine like terms: 1 + -4 = -3 1y = -3 Divide each side by '1'. y = -3 Simplifying y = -3
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