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Simplifying -2(y + -3) = 4(3y + -2) Reorder the terms: -2(-3 + y) = 4(3y + -2) (-3 * -2 + y * -2) = 4(3y + -2) (6 + -2y) = 4(3y + -2) Reorder the terms: 6 + -2y = 4(-2 + 3y) 6 + -2y = (-2 * 4 + 3y * 4) 6 + -2y = (-8 + 12y) Solving 6 + -2y = -8 + 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. 6 + -2y + -12y = -8 + 12y + -12y Combine like terms: -2y + -12y = -14y 6 + -14y = -8 + 12y + -12y Combine like terms: 12y + -12y = 0 6 + -14y = -8 + 0 6 + -14y = -8 Add '-6' to each side of the equation. 6 + -6 + -14y = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -14y = -8 + -6 -14y = -8 + -6 Combine like terms: -8 + -6 = -14 -14y = -14 Divide each side by '-14'. y = 1 Simplifying y = 1
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