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