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Simplifying -3(6y + -7) + 6y = 6(y + 1) Reorder the terms: -3(-7 + 6y) + 6y = 6(y + 1) (-7 * -3 + 6y * -3) + 6y = 6(y + 1) (21 + -18y) + 6y = 6(y + 1) Combine like terms: -18y + 6y = -12y 21 + -12y = 6(y + 1) Reorder the terms: 21 + -12y = 6(1 + y) 21 + -12y = (1 * 6 + y * 6) 21 + -12y = (6 + 6y) Solving 21 + -12y = 6 + 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. 21 + -12y + -6y = 6 + 6y + -6y Combine like terms: -12y + -6y = -18y 21 + -18y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 21 + -18y = 6 + 0 21 + -18y = 6 Add '-21' to each side of the equation. 21 + -21 + -18y = 6 + -21 Combine like terms: 21 + -21 = 0 0 + -18y = 6 + -21 -18y = 6 + -21 Combine like terms: 6 + -21 = -15 -18y = -15 Divide each side by '-18'. y = 0.8333333333 Simplifying y = 0.8333333333
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