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Simplifying 2(y + -2) = -3(2y + 2) Reorder the terms: 2(-2 + y) = -3(2y + 2) (-2 * 2 + y * 2) = -3(2y + 2) (-4 + 2y) = -3(2y + 2) Reorder the terms: -4 + 2y = -3(2 + 2y) -4 + 2y = (2 * -3 + 2y * -3) -4 + 2y = (-6 + -6y) Solving -4 + 2y = -6 + -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. -4 + 2y + 6y = -6 + -6y + 6y Combine like terms: 2y + 6y = 8y -4 + 8y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 -4 + 8y = -6 + 0 -4 + 8y = -6 Add '4' to each side of the equation. -4 + 4 + 8y = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 8y = -6 + 4 8y = -6 + 4 Combine like terms: -6 + 4 = -2 8y = -2 Divide each side by '8'. y = -0.25 Simplifying y = -0.25
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