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Simplifying 2(y + -2) + -1 = 3(y + -3) Reorder the terms: 2(-2 + y) + -1 = 3(y + -3) (-2 * 2 + y * 2) + -1 = 3(y + -3) (-4 + 2y) + -1 = 3(y + -3) Reorder the terms: -4 + -1 + 2y = 3(y + -3) Combine like terms: -4 + -1 = -5 -5 + 2y = 3(y + -3) Reorder the terms: -5 + 2y = 3(-3 + y) -5 + 2y = (-3 * 3 + y * 3) -5 + 2y = (-9 + 3y) Solving -5 + 2y = -9 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -5 + 2y + -3y = -9 + 3y + -3y Combine like terms: 2y + -3y = -1y -5 + -1y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 -5 + -1y = -9 + 0 -5 + -1y = -9 Add '5' to each side of the equation. -5 + 5 + -1y = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = -9 + 5 -1y = -9 + 5 Combine like terms: -9 + 5 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4
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