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Simplifying 3(y + -3) + 2(y + 1) = 2(y + -1) Reorder the terms: 3(-3 + y) + 2(y + 1) = 2(y + -1) (-3 * 3 + y * 3) + 2(y + 1) = 2(y + -1) (-9 + 3y) + 2(y + 1) = 2(y + -1) Reorder the terms: -9 + 3y + 2(1 + y) = 2(y + -1) -9 + 3y + (1 * 2 + y * 2) = 2(y + -1) -9 + 3y + (2 + 2y) = 2(y + -1) Reorder the terms: -9 + 2 + 3y + 2y = 2(y + -1) Combine like terms: -9 + 2 = -7 -7 + 3y + 2y = 2(y + -1) Combine like terms: 3y + 2y = 5y -7 + 5y = 2(y + -1) Reorder the terms: -7 + 5y = 2(-1 + y) -7 + 5y = (-1 * 2 + y * 2) -7 + 5y = (-2 + 2y) Solving -7 + 5y = -2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -7 + 5y + -2y = -2 + 2y + -2y Combine like terms: 5y + -2y = 3y -7 + 3y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 -7 + 3y = -2 + 0 -7 + 3y = -2 Add '7' to each side of the equation. -7 + 7 + 3y = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 3y = -2 + 7 3y = -2 + 7 Combine like terms: -2 + 7 = 5 3y = 5 Divide each side by '3'. y = 1.666666667 Simplifying y = 1.666666667
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