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Simplifying -3(y + -5y) + 8 = -4(3y + -1y) + 2 + 19y Combine like terms: y + -5y = -4y -3(-4y) + 8 = -4(3y + -1y) + 2 + 19y Remove parenthesis around (-4y) -3 * -4y + 8 = -4(3y + -1y) + 2 + 19y Multiply -3 * -4 12y + 8 = -4(3y + -1y) + 2 + 19y Reorder the terms: 8 + 12y = -4(3y + -1y) + 2 + 19y Combine like terms: 3y + -1y = 2y 8 + 12y = -4(2y) + 2 + 19y Remove parenthesis around (2y) 8 + 12y = -4 * 2y + 2 + 19y Multiply -4 * 2 8 + 12y = -8y + 2 + 19y Reorder the terms: 8 + 12y = 2 + -8y + 19y Combine like terms: -8y + 19y = 11y 8 + 12y = 2 + 11y Solving 8 + 12y = 2 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 8 + 12y + -11y = 2 + 11y + -11y Combine like terms: 12y + -11y = 1y 8 + 1y = 2 + 11y + -11y Combine like terms: 11y + -11y = 0 8 + 1y = 2 + 0 8 + 1y = 2 Add '-8' to each side of the equation. 8 + -8 + 1y = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 1y = 2 + -8 1y = 2 + -8 Combine like terms: 2 + -8 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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