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Simplifying -4y + 12 = 2(3y + 1) Reorder the terms: 12 + -4y = 2(3y + 1) Reorder the terms: 12 + -4y = 2(1 + 3y) 12 + -4y = (1 * 2 + 3y * 2) 12 + -4y = (2 + 6y) Solving 12 + -4y = 2 + 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 = 2 + 6y + -6y Combine like terms: -4y + -6y = -10y 12 + -10y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -10y = 2 + 0 12 + -10y = 2 Add '-12' to each side of the equation. 12 + -12 + -10y = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -10y = 2 + -12 -10y = 2 + -12 Combine like terms: 2 + -12 = -10 -10y = -10 Divide each side by '-10'. y = 1 Simplifying y = 1
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