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Simplifying 10(y + -15) + -20 = -4y + -1(y + -5) Reorder the terms: 10(-15 + y) + -20 = -4y + -1(y + -5) (-15 * 10 + y * 10) + -20 = -4y + -1(y + -5) (-150 + 10y) + -20 = -4y + -1(y + -5) Reorder the terms: -150 + -20 + 10y = -4y + -1(y + -5) Combine like terms: -150 + -20 = -170 -170 + 10y = -4y + -1(y + -5) Reorder the terms: -170 + 10y = -4y + -1(-5 + y) -170 + 10y = -4y + (-5 * -1 + y * -1) -170 + 10y = -4y + (5 + -1y) Reorder the terms: -170 + 10y = 5 + -4y + -1y Combine like terms: -4y + -1y = -5y -170 + 10y = 5 + -5y Solving -170 + 10y = 5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -170 + 10y + 5y = 5 + -5y + 5y Combine like terms: 10y + 5y = 15y -170 + 15y = 5 + -5y + 5y Combine like terms: -5y + 5y = 0 -170 + 15y = 5 + 0 -170 + 15y = 5 Add '170' to each side of the equation. -170 + 170 + 15y = 5 + 170 Combine like terms: -170 + 170 = 0 0 + 15y = 5 + 170 15y = 5 + 170 Combine like terms: 5 + 170 = 175 15y = 175 Divide each side by '15'. y = 11.66666667 Simplifying y = 11.66666667
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