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Simplifying -4(4y + -1) + 6y = 6y + 12 Reorder the terms: -4(-1 + 4y) + 6y = 6y + 12 (-1 * -4 + 4y * -4) + 6y = 6y + 12 (4 + -16y) + 6y = 6y + 12 Combine like terms: -16y + 6y = -10y 4 + -10y = 6y + 12 Reorder the terms: 4 + -10y = 12 + 6y Solving 4 + -10y = 12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 4 + -10y + -6y = 12 + 6y + -6y Combine like terms: -10y + -6y = -16y 4 + -16y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + -16y = 12 + 0 4 + -16y = 12 Add '-4' to each side of the equation. 4 + -4 + -16y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -16y = 12 + -4 -16y = 12 + -4 Combine like terms: 12 + -4 = 8 -16y = 8 Divide each side by '-16'. y = -0.5 Simplifying y = -0.5
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