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Simplifying 3(y + 4 + -3y) = 4y + 12 Reorder the terms: 3(4 + y + -3y) = 4y + 12 Combine like terms: y + -3y = -2y 3(4 + -2y) = 4y + 12 (4 * 3 + -2y * 3) = 4y + 12 (12 + -6y) = 4y + 12 Reorder the terms: 12 + -6y = 12 + 4y Add '-12' to each side of the equation. 12 + -12 + -6y = 12 + -12 + 4y Combine like terms: 12 + -12 = 0 0 + -6y = 12 + -12 + 4y -6y = 12 + -12 + 4y Combine like terms: 12 + -12 = 0 -6y = 0 + 4y -6y = 4y Solving -6y = 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. -6y + -4y = 4y + -4y Combine like terms: -6y + -4y = -10y -10y = 4y + -4y Combine like terms: 4y + -4y = 0 -10y = 0 Divide each side by '-10'. y = 0.0 Simplifying y = 0.0
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