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Simplifying 6 + -2(y + -3) = 3(2y + -4) Reorder the terms: 6 + -2(-3 + y) = 3(2y + -4) 6 + (-3 * -2 + y * -2) = 3(2y + -4) 6 + (6 + -2y) = 3(2y + -4) Combine like terms: 6 + 6 = 12 12 + -2y = 3(2y + -4) Reorder the terms: 12 + -2y = 3(-4 + 2y) 12 + -2y = (-4 * 3 + 2y * 3) 12 + -2y = (-12 + 6y) Solving 12 + -2y = -12 + 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 + -2y + -6y = -12 + 6y + -6y Combine like terms: -2y + -6y = -8y 12 + -8y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -8y = -12 + 0 12 + -8y = -12 Add '-12' to each side of the equation. 12 + -12 + -8y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8y = -12 + -12 -8y = -12 + -12 Combine like terms: -12 + -12 = -24 -8y = -24 Divide each side by '-8'. y = 3 Simplifying y = 3
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