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Simplifying -6y + -7(3y + 2) = -7 + 3(-3 + -1y) Reorder the terms: -6y + -7(2 + 3y) = -7 + 3(-3 + -1y) -6y + (2 * -7 + 3y * -7) = -7 + 3(-3 + -1y) -6y + (-14 + -21y) = -7 + 3(-3 + -1y) Reorder the terms: -14 + -6y + -21y = -7 + 3(-3 + -1y) Combine like terms: -6y + -21y = -27y -14 + -27y = -7 + 3(-3 + -1y) -14 + -27y = -7 + (-3 * 3 + -1y * 3) -14 + -27y = -7 + (-9 + -3y) Combine like terms: -7 + -9 = -16 -14 + -27y = -16 + -3y Solving -14 + -27y = -16 + -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. -14 + -27y + 3y = -16 + -3y + 3y Combine like terms: -27y + 3y = -24y -14 + -24y = -16 + -3y + 3y Combine like terms: -3y + 3y = 0 -14 + -24y = -16 + 0 -14 + -24y = -16 Add '14' to each side of the equation. -14 + 14 + -24y = -16 + 14 Combine like terms: -14 + 14 = 0 0 + -24y = -16 + 14 -24y = -16 + 14 Combine like terms: -16 + 14 = -2 -24y = -2 Divide each side by '-24'. y = 0.08333333333 Simplifying y = 0.08333333333
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