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Simplifying -2(6y + -7) + 3y = 8 + 3(3y + -3) Reorder the terms: -2(-7 + 6y) + 3y = 8 + 3(3y + -3) (-7 * -2 + 6y * -2) + 3y = 8 + 3(3y + -3) (14 + -12y) + 3y = 8 + 3(3y + -3) Combine like terms: -12y + 3y = -9y 14 + -9y = 8 + 3(3y + -3) Reorder the terms: 14 + -9y = 8 + 3(-3 + 3y) 14 + -9y = 8 + (-3 * 3 + 3y * 3) 14 + -9y = 8 + (-9 + 9y) Combine like terms: 8 + -9 = -1 14 + -9y = -1 + 9y Solving 14 + -9y = -1 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 14 + -9y + -9y = -1 + 9y + -9y Combine like terms: -9y + -9y = -18y 14 + -18y = -1 + 9y + -9y Combine like terms: 9y + -9y = 0 14 + -18y = -1 + 0 14 + -18y = -1 Add '-14' to each side of the equation. 14 + -14 + -18y = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -18y = -1 + -14 -18y = -1 + -14 Combine like terms: -1 + -14 = -15 -18y = -15 Divide each side by '-18'. y = 0.8333333333 Simplifying y = 0.8333333333
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