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Simplifying 5(2y + -7) = 15y + -10 Reorder the terms: 5(-7 + 2y) = 15y + -10 (-7 * 5 + 2y * 5) = 15y + -10 (-35 + 10y) = 15y + -10 Reorder the terms: -35 + 10y = -10 + 15y Solving -35 + 10y = -10 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -35 + 10y + -15y = -10 + 15y + -15y Combine like terms: 10y + -15y = -5y -35 + -5y = -10 + 15y + -15y Combine like terms: 15y + -15y = 0 -35 + -5y = -10 + 0 -35 + -5y = -10 Add '35' to each side of the equation. -35 + 35 + -5y = -10 + 35 Combine like terms: -35 + 35 = 0 0 + -5y = -10 + 35 -5y = -10 + 35 Combine like terms: -10 + 35 = 25 -5y = 25 Divide each side by '-5'. y = -5 Simplifying y = -5
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