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Simplifying 4(y + -6) = 2(y + -1) Reorder the terms: 4(-6 + y) = 2(y + -1) (-6 * 4 + y * 4) = 2(y + -1) (-24 + 4y) = 2(y + -1) Reorder the terms: -24 + 4y = 2(-1 + y) -24 + 4y = (-1 * 2 + y * 2) -24 + 4y = (-2 + 2y) Solving -24 + 4y = -2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -24 + 4y + -2y = -2 + 2y + -2y Combine like terms: 4y + -2y = 2y -24 + 2y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 -24 + 2y = -2 + 0 -24 + 2y = -2 Add '24' to each side of the equation. -24 + 24 + 2y = -2 + 24 Combine like terms: -24 + 24 = 0 0 + 2y = -2 + 24 2y = -2 + 24 Combine like terms: -2 + 24 = 22 2y = 22 Divide each side by '2'. y = 11 Simplifying y = 11
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