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Simplifying 2(y + -3) = 4(y + -6) Reorder the terms: 2(-3 + y) = 4(y + -6) (-3 * 2 + y * 2) = 4(y + -6) (-6 + 2y) = 4(y + -6) Reorder the terms: -6 + 2y = 4(-6 + y) -6 + 2y = (-6 * 4 + y * 4) -6 + 2y = (-24 + 4y) Solving -6 + 2y = -24 + 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. -6 + 2y + -4y = -24 + 4y + -4y Combine like terms: 2y + -4y = -2y -6 + -2y = -24 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + -2y = -24 + 0 -6 + -2y = -24 Add '6' to each side of the equation. -6 + 6 + -2y = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -2y = -24 + 6 -2y = -24 + 6 Combine like terms: -24 + 6 = -18 -2y = -18 Divide each side by '-2'. y = 9 Simplifying y = 9
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