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Simplifying -2(y + -5y) + 5 = -6(3y + -1y) + 1 + 19y Combine like terms: y + -5y = -4y -2(-4y) + 5 = -6(3y + -1y) + 1 + 19y Remove parenthesis around (-4y) -2 * -4y + 5 = -6(3y + -1y) + 1 + 19y Multiply -2 * -4 8y + 5 = -6(3y + -1y) + 1 + 19y Reorder the terms: 5 + 8y = -6(3y + -1y) + 1 + 19y Combine like terms: 3y + -1y = 2y 5 + 8y = -6(2y) + 1 + 19y Remove parenthesis around (2y) 5 + 8y = -6 * 2y + 1 + 19y Multiply -6 * 2 5 + 8y = -12y + 1 + 19y Reorder the terms: 5 + 8y = 1 + -12y + 19y Combine like terms: -12y + 19y = 7y 5 + 8y = 1 + 7y Solving 5 + 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. 5 + 8y + -7y = 1 + 7y + -7y Combine like terms: 8y + -7y = 1y 5 + 1y = 1 + 7y + -7y Combine like terms: 7y + -7y = 0 5 + 1y = 1 + 0 5 + 1y = 1 Add '-5' to each side of the equation. 5 + -5 + 1y = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 1 + -5 1y = 1 + -5 Combine like terms: 1 + -5 = -4 1y = -4 Divide each side by '1'. y = -4 Simplifying y = -4
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