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Simplifying 2(6y + -1) + 2 = 4(4y + 3) + 20 Reorder the terms: 2(-1 + 6y) + 2 = 4(4y + 3) + 20 (-1 * 2 + 6y * 2) + 2 = 4(4y + 3) + 20 (-2 + 12y) + 2 = 4(4y + 3) + 20 Reorder the terms: -2 + 2 + 12y = 4(4y + 3) + 20 Combine like terms: -2 + 2 = 0 0 + 12y = 4(4y + 3) + 20 12y = 4(4y + 3) + 20 Reorder the terms: 12y = 4(3 + 4y) + 20 12y = (3 * 4 + 4y * 4) + 20 12y = (12 + 16y) + 20 Reorder the terms: 12y = 12 + 20 + 16y Combine like terms: 12 + 20 = 32 12y = 32 + 16y Solving 12y = 32 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 12y + -16y = 32 + 16y + -16y Combine like terms: 12y + -16y = -4y -4y = 32 + 16y + -16y Combine like terms: 16y + -16y = 0 -4y = 32 + 0 -4y = 32 Divide each side by '-4'. y = -8 Simplifying y = -8
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