Simplifying 10y + -0.2(7 + -1y) = 19 10y + (7 * -0.2 + -1y * -0.2) = 19 10y + (-1.4 + 0.2y) = 19 Reorder the terms: -1.4 + 10y + 0.2y = 19 Combine like terms: 10y + 0.2y = 10.2y -1.4 + 10.2y = 19 Solving -1.4 + 10.2y = 19 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + 10.2y = 19 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 10.2y = 19 + 1.4 10.2y = 19 + 1.4 Combine like terms: 19 + 1.4 = 20.4 10.2y = 20.4 Divide each side by '10.2'. y = 2 Simplifying y = 2