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Simplifying 4y + -7 + 4(2y + 4) = -6(y + 1) Reorder the terms: 4y + -7 + 4(4 + 2y) = -6(y + 1) 4y + -7 + (4 * 4 + 2y * 4) = -6(y + 1) 4y + -7 + (16 + 8y) = -6(y + 1) Reorder the terms: -7 + 16 + 4y + 8y = -6(y + 1) Combine like terms: -7 + 16 = 9 9 + 4y + 8y = -6(y + 1) Combine like terms: 4y + 8y = 12y 9 + 12y = -6(y + 1) Reorder the terms: 9 + 12y = -6(1 + y) 9 + 12y = (1 * -6 + y * -6) 9 + 12y = (-6 + -6y) Solving 9 + 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. 9 + 12y + 6y = -6 + -6y + 6y Combine like terms: 12y + 6y = 18y 9 + 18y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 9 + 18y = -6 + 0 9 + 18y = -6 Add '-9' to each side of the equation. 9 + -9 + 18y = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 18y = -6 + -9 18y = -6 + -9 Combine like terms: -6 + -9 = -15 18y = -15 Divide each side by '18'. y = -0.8333333333 Simplifying y = -0.8333333333
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