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Simplifying 2(2y + -3) = 6(y + 2) Reorder the terms: 2(-3 + 2y) = 6(y + 2) (-3 * 2 + 2y * 2) = 6(y + 2) (-6 + 4y) = 6(y + 2) Reorder the terms: -6 + 4y = 6(2 + y) -6 + 4y = (2 * 6 + y * 6) -6 + 4y = (12 + 6y) Solving -6 + 4y = 12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -6 + 4y + -6y = 12 + 6y + -6y Combine like terms: 4y + -6y = -2y -6 + -2y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + -2y = 12 + 0 -6 + -2y = 12 Add '6' to each side of the equation. -6 + 6 + -2y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2y = 12 + 6 -2y = 12 + 6 Combine like terms: 12 + 6 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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