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Simplifying 7 + 2(6y + -1) = -3(4y + -1) + 6y Reorder the terms: 7 + 2(-1 + 6y) = -3(4y + -1) + 6y 7 + (-1 * 2 + 6y * 2) = -3(4y + -1) + 6y 7 + (-2 + 12y) = -3(4y + -1) + 6y Combine like terms: 7 + -2 = 5 5 + 12y = -3(4y + -1) + 6y Reorder the terms: 5 + 12y = -3(-1 + 4y) + 6y 5 + 12y = (-1 * -3 + 4y * -3) + 6y 5 + 12y = (3 + -12y) + 6y Combine like terms: -12y + 6y = -6y 5 + 12y = 3 + -6y Solving 5 + 12y = 3 + -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. 5 + 12y + 6y = 3 + -6y + 6y Combine like terms: 12y + 6y = 18y 5 + 18y = 3 + -6y + 6y Combine like terms: -6y + 6y = 0 5 + 18y = 3 + 0 5 + 18y = 3 Add '-5' to each side of the equation. 5 + -5 + 18y = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 18y = 3 + -5 18y = 3 + -5 Combine like terms: 3 + -5 = -2 18y = -2 Divide each side by '18'. y = -0.1111111111 Simplifying y = -0.1111111111
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