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Simplifying -2(7y + -4) + 2y = 6 + 2(2y + -6) Reorder the terms: -2(-4 + 7y) + 2y = 6 + 2(2y + -6) (-4 * -2 + 7y * -2) + 2y = 6 + 2(2y + -6) (8 + -14y) + 2y = 6 + 2(2y + -6) Combine like terms: -14y + 2y = -12y 8 + -12y = 6 + 2(2y + -6) Reorder the terms: 8 + -12y = 6 + 2(-6 + 2y) 8 + -12y = 6 + (-6 * 2 + 2y * 2) 8 + -12y = 6 + (-12 + 4y) Combine like terms: 6 + -12 = -6 8 + -12y = -6 + 4y Solving 8 + -12y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + -12y + -4y = -6 + 4y + -4y Combine like terms: -12y + -4y = -16y 8 + -16y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + -16y = -6 + 0 8 + -16y = -6 Add '-8' to each side of the equation. 8 + -8 + -16y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -16y = -6 + -8 -16y = -6 + -8 Combine like terms: -6 + -8 = -14 -16y = -14 Divide each side by '-16'. y = 0.875 Simplifying y = 0.875
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