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Simplifying 10y + -45 = 3(y + -15) Reorder the terms: -45 + 10y = 3(y + -15) Reorder the terms: -45 + 10y = 3(-15 + y) -45 + 10y = (-15 * 3 + y * 3) -45 + 10y = (-45 + 3y) Add '45' to each side of the equation. -45 + 45 + 10y = -45 + 45 + 3y Combine like terms: -45 + 45 = 0 0 + 10y = -45 + 45 + 3y 10y = -45 + 45 + 3y Combine like terms: -45 + 45 = 0 10y = 0 + 3y 10y = 3y Solving 10y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 10y + -3y = 3y + -3y Combine like terms: 10y + -3y = 7y 7y = 3y + -3y Combine like terms: 3y + -3y = 0 7y = 0 Divide each side by '7'. y = 0 Simplifying y = 0
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