The standard form of a linear equation is:
#color(red)(A)x + color(blue)(B)y = color(green)(C)#
where, if at all possible, #color(red)(A)#, #color(blue)(B)#, and #color(green)(C)#are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
First, expand the term in parenthesis on the right side of the equation:
#y - 10 = (-2 xx x) + (2 xx 3)#
#y - 10 = -2x + 6#
Next add #color(red)(2x)# and #color(blue)(10)# to each side of the equation to isolate the #x# and #y# term on the left side of the equation and the constants on the other wide of the equation:
#color(red)(2x) + y - 10 + color(blue)(10) = color(red)(2x) - 2x + 6 + color(blue)(10)#
#2x + y - 0 = 0 + 6 + 10#
#2x + y = 16#
