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Simplifying -4y + 12 = 2(3y + -4) Reorder the terms: 12 + -4y = 2(3y + -4) Reorder the terms: 12 + -4y = 2(-4 + 3y) 12 + -4y = (-4 * 2 + 3y * 2) 12 + -4y = (-8 + 6y) Solving 12 + -4y = -8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + -4y + -6y = -8 + 6y + -6y Combine like terms: -4y + -6y = -10y 12 + -10y = -8 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -10y = -8 + 0 12 + -10y = -8 Add '-12' to each side of the equation. 12 + -12 + -10y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -10y = -8 + -12 -10y = -8 + -12 Combine like terms: -8 + -12 = -20 -10y = -20 Divide each side by '-10'. y = 2 Simplifying y = 2
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