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Simplifying 5(2y + -1) = 4(2y + -3) + 3 Reorder the terms: 5(-1 + 2y) = 4(2y + -3) + 3 (-1 * 5 + 2y * 5) = 4(2y + -3) + 3 (-5 + 10y) = 4(2y + -3) + 3 Reorder the terms: -5 + 10y = 4(-3 + 2y) + 3 -5 + 10y = (-3 * 4 + 2y * 4) + 3 -5 + 10y = (-12 + 8y) + 3 Reorder the terms: -5 + 10y = -12 + 3 + 8y Combine like terms: -12 + 3 = -9 -5 + 10y = -9 + 8y Solving -5 + 10y = -9 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -5 + 10y + -8y = -9 + 8y + -8y Combine like terms: 10y + -8y = 2y -5 + 2y = -9 + 8y + -8y Combine like terms: 8y + -8y = 0 -5 + 2y = -9 + 0 -5 + 2y = -9 Add '5' to each side of the equation. -5 + 5 + 2y = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = -9 + 5 2y = -9 + 5 Combine like terms: -9 + 5 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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