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Simplifying -2(3y + -7) = 4y + -6 Reorder the terms: -2(-7 + 3y) = 4y + -6 (-7 * -2 + 3y * -2) = 4y + -6 (14 + -6y) = 4y + -6 Reorder the terms: 14 + -6y = -6 + 4y Solving 14 + -6y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 14 + -6y + -4y = -6 + 4y + -4y Combine like terms: -6y + -4y = -10y 14 + -10y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 14 + -10y = -6 + 0 14 + -10y = -6 Add '-14' to each side of the equation. 14 + -14 + -10y = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -10y = -6 + -14 -10y = -6 + -14 Combine like terms: -6 + -14 = -20 -10y = -20 Divide each side by '-10'. y = 2 Simplifying y = 2
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