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Simplifying 6y + -4 + 5(2y + 1) = -2(y + 7) Reorder the terms: 6y + -4 + 5(1 + 2y) = -2(y + 7) 6y + -4 + (1 * 5 + 2y * 5) = -2(y + 7) 6y + -4 + (5 + 10y) = -2(y + 7) Reorder the terms: -4 + 5 + 6y + 10y = -2(y + 7) Combine like terms: -4 + 5 = 1 1 + 6y + 10y = -2(y + 7) Combine like terms: 6y + 10y = 16y 1 + 16y = -2(y + 7) Reorder the terms: 1 + 16y = -2(7 + y) 1 + 16y = (7 * -2 + y * -2) 1 + 16y = (-14 + -2y) Solving 1 + 16y = -14 + -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. 1 + 16y + 2y = -14 + -2y + 2y Combine like terms: 16y + 2y = 18y 1 + 18y = -14 + -2y + 2y Combine like terms: -2y + 2y = 0 1 + 18y = -14 + 0 1 + 18y = -14 Add '-1' to each side of the equation. 1 + -1 + 18y = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 18y = -14 + -1 18y = -14 + -1 Combine like terms: -14 + -1 = -15 18y = -15 Divide each side by '18'. y = -0.8333333333 Simplifying y = -0.8333333333
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