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Simplifying 1 + -3(y + 19) = 3y + -5(y + -5) Reorder the terms: 1 + -3(19 + y) = 3y + -5(y + -5) 1 + (19 * -3 + y * -3) = 3y + -5(y + -5) 1 + (-57 + -3y) = 3y + -5(y + -5) Combine like terms: 1 + -57 = -56 -56 + -3y = 3y + -5(y + -5) Reorder the terms: -56 + -3y = 3y + -5(-5 + y) -56 + -3y = 3y + (-5 * -5 + y * -5) -56 + -3y = 3y + (25 + -5y) Reorder the terms: -56 + -3y = 25 + 3y + -5y Combine like terms: 3y + -5y = -2y -56 + -3y = 25 + -2y Solving -56 + -3y = 25 + -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. -56 + -3y + 2y = 25 + -2y + 2y Combine like terms: -3y + 2y = -1y -56 + -1y = 25 + -2y + 2y Combine like terms: -2y + 2y = 0 -56 + -1y = 25 + 0 -56 + -1y = 25 Add '56' to each side of the equation. -56 + 56 + -1y = 25 + 56 Combine like terms: -56 + 56 = 0 0 + -1y = 25 + 56 -1y = 25 + 56 Combine like terms: 25 + 56 = 81 -1y = 81 Divide each side by '-1'. y = -81 Simplifying y = -81
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