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Simplifying -1 + -4(7y + -1) = 2(-6y + -8) + 3 Reorder the terms: -1 + -4(-1 + 7y) = 2(-6y + -8) + 3 -1 + (-1 * -4 + 7y * -4) = 2(-6y + -8) + 3 -1 + (4 + -28y) = 2(-6y + -8) + 3 Combine like terms: -1 + 4 = 3 3 + -28y = 2(-6y + -8) + 3 Reorder the terms: 3 + -28y = 2(-8 + -6y) + 3 3 + -28y = (-8 * 2 + -6y * 2) + 3 3 + -28y = (-16 + -12y) + 3 Reorder the terms: 3 + -28y = -16 + 3 + -12y Combine like terms: -16 + 3 = -13 3 + -28y = -13 + -12y Solving 3 + -28y = -13 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 3 + -28y + 12y = -13 + -12y + 12y Combine like terms: -28y + 12y = -16y 3 + -16y = -13 + -12y + 12y Combine like terms: -12y + 12y = 0 3 + -16y = -13 + 0 3 + -16y = -13 Add '-3' to each side of the equation. 3 + -3 + -16y = -13 + -3 Combine like terms: 3 + -3 = 0 0 + -16y = -13 + -3 -16y = -13 + -3 Combine like terms: -13 + -3 = -16 -16y = -16 Divide each side by '-16'. y = 1 Simplifying y = 1
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