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Simplifying 2(2y + -3) = 4 + 3(y + -2) Reorder the terms: 2(-3 + 2y) = 4 + 3(y + -2) (-3 * 2 + 2y * 2) = 4 + 3(y + -2) (-6 + 4y) = 4 + 3(y + -2) Reorder the terms: -6 + 4y = 4 + 3(-2 + y) -6 + 4y = 4 + (-2 * 3 + y * 3) -6 + 4y = 4 + (-6 + 3y) Combine like terms: 4 + -6 = -2 -6 + 4y = -2 + 3y Solving -6 + 4y = -2 + 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. -6 + 4y + -3y = -2 + 3y + -3y Combine like terms: 4y + -3y = 1y -6 + 1y = -2 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 1y = -2 + 0 -6 + 1y = -2 Add '6' to each side of the equation. -6 + 6 + 1y = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = -2 + 6 1y = -2 + 6 Combine like terms: -2 + 6 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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