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Simplifying 5(2y + -7) + -4y = 2y + 13 Reorder the terms: 5(-7 + 2y) + -4y = 2y + 13 (-7 * 5 + 2y * 5) + -4y = 2y + 13 (-35 + 10y) + -4y = 2y + 13 Combine like terms: 10y + -4y = 6y -35 + 6y = 2y + 13 Reorder the terms: -35 + 6y = 13 + 2y Solving -35 + 6y = 13 + 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. -35 + 6y + -2y = 13 + 2y + -2y Combine like terms: 6y + -2y = 4y -35 + 4y = 13 + 2y + -2y Combine like terms: 2y + -2y = 0 -35 + 4y = 13 + 0 -35 + 4y = 13 Add '35' to each side of the equation. -35 + 35 + 4y = 13 + 35 Combine like terms: -35 + 35 = 0 0 + 4y = 13 + 35 4y = 13 + 35 Combine like terms: 13 + 35 = 48 4y = 48 Divide each side by '4'. y = 12 Simplifying y = 12
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