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Simplifying 3(y + -4) = 2(y + 1) + 6 Reorder the terms: 3(-4 + y) = 2(y + 1) + 6 (-4 * 3 + y * 3) = 2(y + 1) + 6 (-12 + 3y) = 2(y + 1) + 6 Reorder the terms: -12 + 3y = 2(1 + y) + 6 -12 + 3y = (1 * 2 + y * 2) + 6 -12 + 3y = (2 + 2y) + 6 Reorder the terms: -12 + 3y = 2 + 6 + 2y Combine like terms: 2 + 6 = 8 -12 + 3y = 8 + 2y Solving -12 + 3y = 8 + 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. -12 + 3y + -2y = 8 + 2y + -2y Combine like terms: 3y + -2y = 1y -12 + 1y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -12 + 1y = 8 + 0 -12 + 1y = 8 Add '12' to each side of the equation. -12 + 12 + 1y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = 8 + 12 1y = 8 + 12 Combine like terms: 8 + 12 = 20 1y = 20 Divide each side by '1'. y = 20 Simplifying y = 20
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