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Simplifying -4(y + -4y) + 5 = -4(2y + -1y) + 2 + 15y Combine like terms: y + -4y = -3y -4(-3y) + 5 = -4(2y + -1y) + 2 + 15y Remove parenthesis around (-3y) -4 * -3y + 5 = -4(2y + -1y) + 2 + 15y Multiply -4 * -3 12y + 5 = -4(2y + -1y) + 2 + 15y Reorder the terms: 5 + 12y = -4(2y + -1y) + 2 + 15y Combine like terms: 2y + -1y = 1y 5 + 12y = -4(1y) + 2 + 15y Remove parenthesis around (1y) 5 + 12y = -4 * 1y + 2 + 15y Multiply -4 * 1 5 + 12y = -4y + 2 + 15y Reorder the terms: 5 + 12y = 2 + -4y + 15y Combine like terms: -4y + 15y = 11y 5 + 12y = 2 + 11y Solving 5 + 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. 5 + 12y + -11y = 2 + 11y + -11y Combine like terms: 12y + -11y = 1y 5 + 1y = 2 + 11y + -11y Combine like terms: 11y + -11y = 0 5 + 1y = 2 + 0 5 + 1y = 2 Add '-5' to each side of the equation. 5 + -5 + 1y = 2 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 2 + -5 1y = 2 + -5 Combine like terms: 2 + -5 = -3 1y = -3 Divide each side by '1'. y = -3 Simplifying y = -3
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