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Simplifying 2(y + -2) = 2y + 2 + -4(-3y + -1) Reorder the terms: 2(-2 + y) = 2y + 2 + -4(-3y + -1) (-2 * 2 + y * 2) = 2y + 2 + -4(-3y + -1) (-4 + 2y) = 2y + 2 + -4(-3y + -1) Reorder the terms: -4 + 2y = 2y + 2 + -4(-1 + -3y) -4 + 2y = 2y + 2 + (-1 * -4 + -3y * -4) -4 + 2y = 2y + 2 + (4 + 12y) Reorder the terms: -4 + 2y = 2 + 4 + 2y + 12y Combine like terms: 2 + 4 = 6 -4 + 2y = 6 + 2y + 12y Combine like terms: 2y + 12y = 14y -4 + 2y = 6 + 14y Solving -4 + 2y = 6 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -4 + 2y + -14y = 6 + 14y + -14y Combine like terms: 2y + -14y = -12y -4 + -12y = 6 + 14y + -14y Combine like terms: 14y + -14y = 0 -4 + -12y = 6 + 0 -4 + -12y = 6 Add '4' to each side of the equation. -4 + 4 + -12y = 6 + 4 Combine like terms: -4 + 4 = 0 0 + -12y = 6 + 4 -12y = 6 + 4 Combine like terms: 6 + 4 = 10 -12y = 10 Divide each side by '-12'. y = -0.8333333333 Simplifying y = -0.8333333333
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