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Simplifying 5(2y + -1) + -2y = 2(3y + -4) + 10 Reorder the terms: 5(-1 + 2y) + -2y = 2(3y + -4) + 10 (-1 * 5 + 2y * 5) + -2y = 2(3y + -4) + 10 (-5 + 10y) + -2y = 2(3y + -4) + 10 Combine like terms: 10y + -2y = 8y -5 + 8y = 2(3y + -4) + 10 Reorder the terms: -5 + 8y = 2(-4 + 3y) + 10 -5 + 8y = (-4 * 2 + 3y * 2) + 10 -5 + 8y = (-8 + 6y) + 10 Reorder the terms: -5 + 8y = -8 + 10 + 6y Combine like terms: -8 + 10 = 2 -5 + 8y = 2 + 6y Solving -5 + 8y = 2 + 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. -5 + 8y + -6y = 2 + 6y + -6y Combine like terms: 8y + -6y = 2y -5 + 2y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -5 + 2y = 2 + 0 -5 + 2y = 2 Add '5' to each side of the equation. -5 + 5 + 2y = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = 2 + 5 2y = 2 + 5 Combine like terms: 2 + 5 = 7 2y = 7 Divide each side by '2'. y = 3.5 Simplifying y = 3.5
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