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Simplifying 2(5y + -1) + y = 4(y + -5) + -3 Reorder the terms: 2(-1 + 5y) + y = 4(y + -5) + -3 (-1 * 2 + 5y * 2) + y = 4(y + -5) + -3 (-2 + 10y) + y = 4(y + -5) + -3 Combine like terms: 10y + y = 11y -2 + 11y = 4(y + -5) + -3 Reorder the terms: -2 + 11y = 4(-5 + y) + -3 -2 + 11y = (-5 * 4 + y * 4) + -3 -2 + 11y = (-20 + 4y) + -3 Reorder the terms: -2 + 11y = -20 + -3 + 4y Combine like terms: -20 + -3 = -23 -2 + 11y = -23 + 4y Solving -2 + 11y = -23 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -2 + 11y + -4y = -23 + 4y + -4y Combine like terms: 11y + -4y = 7y -2 + 7y = -23 + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + 7y = -23 + 0 -2 + 7y = -23 Add '2' to each side of the equation. -2 + 2 + 7y = -23 + 2 Combine like terms: -2 + 2 = 0 0 + 7y = -23 + 2 7y = -23 + 2 Combine like terms: -23 + 2 = -21 7y = -21 Divide each side by '7'. y = -3 Simplifying y = -3
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