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Simplifying -4(y + -2y) + 4 = -3(5y + -1y) + 8 + 15y Combine like terms: y + -2y = -1y -4(-1y) + 4 = -3(5y + -1y) + 8 + 15y Remove parenthesis around (-1y) -4 * -1y + 4 = -3(5y + -1y) + 8 + 15y Multiply -4 * -1 4y + 4 = -3(5y + -1y) + 8 + 15y Reorder the terms: 4 + 4y = -3(5y + -1y) + 8 + 15y Combine like terms: 5y + -1y = 4y 4 + 4y = -3(4y) + 8 + 15y Remove parenthesis around (4y) 4 + 4y = -3 * 4y + 8 + 15y Multiply -3 * 4 4 + 4y = -12y + 8 + 15y Reorder the terms: 4 + 4y = 8 + -12y + 15y Combine like terms: -12y + 15y = 3y 4 + 4y = 8 + 3y Solving 4 + 4y = 8 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 4 + 4y + -3y = 8 + 3y + -3y Combine like terms: 4y + -3y = 1y 4 + 1y = 8 + 3y + -3y Combine like terms: 3y + -3y = 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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