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Simplifying 2 + 2(4y + -3) = -2(3y + -5) + 6y Reorder the terms: 2 + 2(-3 + 4y) = -2(3y + -5) + 6y 2 + (-3 * 2 + 4y * 2) = -2(3y + -5) + 6y 2 + (-6 + 8y) = -2(3y + -5) + 6y Combine like terms: 2 + -6 = -4 -4 + 8y = -2(3y + -5) + 6y Reorder the terms: -4 + 8y = -2(-5 + 3y) + 6y -4 + 8y = (-5 * -2 + 3y * -2) + 6y -4 + 8y = (10 + -6y) + 6y Combine like terms: -6y + 6y = 0 -4 + 8y = 10 + 0 -4 + 8y = 10 Solving -4 + 8y = 10 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 8y = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 8y = 10 + 4 8y = 10 + 4 Combine like terms: 10 + 4 = 14 8y = 14 Divide each side by '8'. y = 1.75 Simplifying y = 1.75
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