If a line is parallel to another line, then the slopes must be the same. the easiest way to find the slope is to put your equation into slope-intercept form (or y=mx+c)so 2x + 2y = 3 put into slope-intercept form would bey = -x + (3/2) by getting y alone and dividing everything by 2.now we know that the slope is -1.
for our new line, we have y = -x + cif it passes through point (1,4) this means that we can solve for the c in the equation.to do this, we can plug in 1 for x and 4 for y and solve for cthen we would get4 = -1 + cc = 5
now we know that the equation for the new line is y = -x + 5
To solve for y, we need to get 4y by itself on one side and then simplify for y.
4y + 228 = 353
Subtract 228 from both sides.
228 - 228 = 0
353 - 228 = 125
4y = 125
Divide both sides by 4.
4y / 4 = y
125 / 4 = 31.25
y = 31.25
I hope this helps!
