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Simplifying 1 + 2(4y + -5) = -2(2y + -3) + 2y Reorder the terms: 1 + 2(-5 + 4y) = -2(2y + -3) + 2y 1 + (-5 * 2 + 4y * 2) = -2(2y + -3) + 2y 1 + (-10 + 8y) = -2(2y + -3) + 2y Combine like terms: 1 + -10 = -9 -9 + 8y = -2(2y + -3) + 2y Reorder the terms: -9 + 8y = -2(-3 + 2y) + 2y -9 + 8y = (-3 * -2 + 2y * -2) + 2y -9 + 8y = (6 + -4y) + 2y Combine like terms: -4y + 2y = -2y -9 + 8y = 6 + -2y Solving -9 + 8y = 6 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -9 + 8y + 2y = 6 + -2y + 2y Combine like terms: 8y + 2y = 10y -9 + 10y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 -9 + 10y = 6 + 0 -9 + 10y = 6 Add '9' to each side of the equation. -9 + 9 + 10y = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 10y = 6 + 9 10y = 6 + 9 Combine like terms: 6 + 9 = 15 10y = 15 Divide each side by '10'. y = 1.5 Simplifying y = 1.5
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