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Simplifying 6y + -3(y + 1) = 5(y + -5) Reorder the terms: 6y + -3(1 + y) = 5(y + -5) 6y + (1 * -3 + y * -3) = 5(y + -5) 6y + (-3 + -3y) = 5(y + -5) Reorder the terms: -3 + 6y + -3y = 5(y + -5) Combine like terms: 6y + -3y = 3y -3 + 3y = 5(y + -5) Reorder the terms: -3 + 3y = 5(-5 + y) -3 + 3y = (-5 * 5 + y * 5) -3 + 3y = (-25 + 5y) Solving -3 + 3y = -25 + 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. -3 + 3y + -5y = -25 + 5y + -5y Combine like terms: 3y + -5y = -2y -3 + -2y = -25 + 5y + -5y Combine like terms: 5y + -5y = 0 -3 + -2y = -25 + 0 -3 + -2y = -25 Add '3' to each side of the equation. -3 + 3 + -2y = -25 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = -25 + 3 -2y = -25 + 3 Combine like terms: -25 + 3 = -22 -2y = -22 Divide each side by '-2'. y = 11 Simplifying y = 11
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