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Simplifying -2(6y + -7) + 8y = 2(y + 3) Reorder the terms: -2(-7 + 6y) + 8y = 2(y + 3) (-7 * -2 + 6y * -2) + 8y = 2(y + 3) (14 + -12y) + 8y = 2(y + 3) Combine like terms: -12y + 8y = -4y 14 + -4y = 2(y + 3) Reorder the terms: 14 + -4y = 2(3 + y) 14 + -4y = (3 * 2 + y * 2) 14 + -4y = (6 + 2y) Solving 14 + -4y = 6 + 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. 14 + -4y + -2y = 6 + 2y + -2y Combine like terms: -4y + -2y = -6y 14 + -6y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 14 + -6y = 6 + 0 14 + -6y = 6 Add '-14' to each side of the equation. 14 + -14 + -6y = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -6y = 6 + -14 -6y = 6 + -14 Combine like terms: 6 + -14 = -8 -6y = -8 Divide each side by '-6'. y = 1.333333333 Simplifying y = 1.333333333
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