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Simplifying y + -7 + -8(y + -6) + 6(7y + 1) = 0 Reorder the terms: y + -7 + -8(-6 + y) + 6(7y + 1) = 0 y + -7 + (-6 * -8 + y * -8) + 6(7y + 1) = 0 y + -7 + (48 + -8y) + 6(7y + 1) = 0 Reorder the terms: y + -7 + 48 + -8y + 6(1 + 7y) = 0 y + -7 + 48 + -8y + (1 * 6 + 7y * 6) = 0 y + -7 + 48 + -8y + (6 + 42y) = 0 Reorder the terms: -7 + 48 + 6 + y + -8y + 42y = 0 Combine like terms: -7 + 48 = 41 41 + 6 + y + -8y + 42y = 0 Combine like terms: 41 + 6 = 47 47 + y + -8y + 42y = 0 Combine like terms: y + -8y = -7y 47 + -7y + 42y = 0 Combine like terms: -7y + 42y = 35y 47 + 35y = 0 Solving 47 + 35y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 35y = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 35y = 0 + -47 35y = 0 + -47 Combine like terms: 0 + -47 = -47 35y = -47 Divide each side by '35'. y = -1.342857143 Simplifying y = -1.342857143
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