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Simplifying -3(y + -5y) + 4 = -2(5y + -1y) + 8 + 19y Combine like terms: y + -5y = -4y -3(-4y) + 4 = -2(5y + -1y) + 8 + 19y Remove parenthesis around (-4y) -3 * -4y + 4 = -2(5y + -1y) + 8 + 19y Multiply -3 * -4 12y + 4 = -2(5y + -1y) + 8 + 19y Reorder the terms: 4 + 12y = -2(5y + -1y) + 8 + 19y Combine like terms: 5y + -1y = 4y 4 + 12y = -2(4y) + 8 + 19y Remove parenthesis around (4y) 4 + 12y = -2 * 4y + 8 + 19y Multiply -2 * 4 4 + 12y = -8y + 8 + 19y Reorder the terms: 4 + 12y = 8 + -8y + 19y Combine like terms: -8y + 19y = 11y 4 + 12y = 8 + 11y Solving 4 + 12y = 8 + 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. 4 + 12y + -11y = 8 + 11y + -11y Combine like terms: 12y + -11y = 1y 4 + 1y = 8 + 11y + -11y Combine like terms: 11y + -11y = 0 4 + 1y = 8 + 0 4 + 1y = 8 Add '-4' to each side of the equation. 4 + -4 + 1y = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 8 + -4 1y = 8 + -4 Combine like terms: 8 + -4 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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