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Simplifying -2y + -1(-2y + 7) = -6 + -3(-7 + -1y) Reorder the terms: -2y + -1(7 + -2y) = -6 + -3(-7 + -1y) -2y + (7 * -1 + -2y * -1) = -6 + -3(-7 + -1y) -2y + (-7 + 2y) = -6 + -3(-7 + -1y) Reorder the terms: -7 + -2y + 2y = -6 + -3(-7 + -1y) Combine like terms: -2y + 2y = 0 -7 + 0 = -6 + -3(-7 + -1y) -7 = -6 + -3(-7 + -1y) -7 = -6 + (-7 * -3 + -1y * -3) -7 = -6 + (21 + 3y) Combine like terms: -6 + 21 = 15 -7 = 15 + 3y Solving -7 = 15 + 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. -7 + -3y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + -3y = 15 + 0 -7 + -3y = 15 Add '7' to each side of the equation. -7 + 7 + -3y = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -3y = 15 + 7 -3y = 15 + 7 Combine like terms: 15 + 7 = 22 -3y = 22 Divide each side by '-3'. y = -7.333333333 Simplifying y = -7.333333333
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