John Joos is the stockholder and operator of Personality Shine LLC$,$ a motivational consulting business. At the end of its accounting period, December $31,20$Y$2,$ Personality Shine has assets of $$793,000$ and liabilities of $$190,000.$ Using the accounting equation, determine the following amounts:

a$.$ Stockholders' equity as of December $31,20Y2.$

$

b$.$ Stockholders' equity as of December $31,20Y3,$ assuming that assets increased by $$151,000$ and liabilities increased by $$46,000$ during $20Y3.$