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Simplifying 6(y + -1) = 8y + 2 + -2(-5y + -3) Reorder the terms: 6(-1 + y) = 8y + 2 + -2(-5y + -3) (-1 * 6 + y * 6) = 8y + 2 + -2(-5y + -3) (-6 + 6y) = 8y + 2 + -2(-5y + -3) Reorder the terms: -6 + 6y = 8y + 2 + -2(-3 + -5y) -6 + 6y = 8y + 2 + (-3 * -2 + -5y * -2) -6 + 6y = 8y + 2 + (6 + 10y) Reorder the terms: -6 + 6y = 2 + 6 + 8y + 10y Combine like terms: 2 + 6 = 8 -6 + 6y = 8 + 8y + 10y Combine like terms: 8y + 10y = 18y -6 + 6y = 8 + 18y Solving -6 + 6y = 8 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -6 + 6y + -18y = 8 + 18y + -18y Combine like terms: 6y + -18y = -12y -6 + -12y = 8 + 18y + -18y Combine like terms: 18y + -18y = 0 -6 + -12y = 8 + 0 -6 + -12y = 8 Add '6' to each side of the equation. -6 + 6 + -12y = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -12y = 8 + 6 -12y = 8 + 6 Combine like terms: 8 + 6 = 14 -12y = 14 Divide each side by '-12'. y = -1.166666667 Simplifying y = -1.166666667
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