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