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Simplifying 5 + -1y = 2y + -1(4 + 7(2y + -1)) Reorder the terms: 5 + -1y = 2y + -1(4 + 7(-1 + 2y)) 5 + -1y = 2y + -1(4 + (-1 * 7 + 2y * 7)) 5 + -1y = 2y + -1(4 + (-7 + 14y)) Combine like terms: 4 + -7 = -3 5 + -1y = 2y + -1(-3 + 14y) 5 + -1y = 2y + (-3 * -1 + 14y * -1) 5 + -1y = 2y + (3 + -14y) Reorder the terms: 5 + -1y = 3 + 2y + -14y Combine like terms: 2y + -14y = -12y 5 + -1y = 3 + -12y Solving 5 + -1y = 3 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 5 + -1y + 12y = 3 + -12y + 12y Combine like terms: -1y + 12y = 11y 5 + 11y = 3 + -12y + 12y Combine like terms: -12y + 12y = 0 5 + 11y = 3 + 0 5 + 11y = 3 Add '-5' to each side of the equation. 5 + -5 + 11y = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 11y = 3 + -5 11y = 3 + -5 Combine like terms: 3 + -5 = -2 11y = -2 Divide each side by '11'. y = -0.1818181818 Simplifying y = -0.1818181818
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