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Simplifying 2(5y + -2) + -3(1 + -1y) = y + 1 Reorder the terms: 2(-2 + 5y) + -3(1 + -1y) = y + 1 (-2 * 2 + 5y * 2) + -3(1 + -1y) = y + 1 (-4 + 10y) + -3(1 + -1y) = y + 1 -4 + 10y + (1 * -3 + -1y * -3) = y + 1 -4 + 10y + (-3 + 3y) = y + 1 Reorder the terms: -4 + -3 + 10y + 3y = y + 1 Combine like terms: -4 + -3 = -7 -7 + 10y + 3y = y + 1 Combine like terms: 10y + 3y = 13y -7 + 13y = y + 1 Reorder the terms: -7 + 13y = 1 + y Solving -7 + 13y = 1 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -7 + 13y + -1y = 1 + y + -1y Combine like terms: 13y + -1y = 12y -7 + 12y = 1 + y + -1y Combine like terms: y + -1y = 0 -7 + 12y = 1 + 0 -7 + 12y = 1 Add '7' to each side of the equation. -7 + 7 + 12y = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 12y = 1 + 7 12y = 1 + 7 Combine like terms: 1 + 7 = 8 12y = 8 Divide each side by '12'. y = 0.6666666667 Simplifying y = 0.6666666667
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