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Simplifying -6(y + -4y) + 4 = -2(2y + -1y) + 2 + 19y Combine like terms: y + -4y = -3y -6(-3y) + 4 = -2(2y + -1y) + 2 + 19y Remove parenthesis around (-3y) -6 * -3y + 4 = -2(2y + -1y) + 2 + 19y Multiply -6 * -3 18y + 4 = -2(2y + -1y) + 2 + 19y Reorder the terms: 4 + 18y = -2(2y + -1y) + 2 + 19y Combine like terms: 2y + -1y = 1y 4 + 18y = -2(1y) + 2 + 19y Remove parenthesis around (1y) 4 + 18y = -2 * 1y + 2 + 19y Multiply -2 * 1 4 + 18y = -2y + 2 + 19y Reorder the terms: 4 + 18y = 2 + -2y + 19y Combine like terms: -2y + 19y = 17y 4 + 18y = 2 + 17y Solving 4 + 18y = 2 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. 4 + 18y + -17y = 2 + 17y + -17y Combine like terms: 18y + -17y = 1y 4 + 1y = 2 + 17y + -17y Combine like terms: 17y + -17y = 0 4 + 1y = 2 + 0 4 + 1y = 2 Add '-4' to each side of the equation. 4 + -4 + 1y = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 2 + -4 1y = 2 + -4 Combine like terms: 2 + -4 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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