4y+6x+7=10+6x what is slope and y-intercept

First, solve for y.

4y + 6x + 7 = 10 + 6x
4y = 10 + 6x - 6x - 7
4y = 3
y = 3/4

This is the equation of a horizontal line that crosses the y-axis at 3/4.
So, the slope is 0, and the y-intercept is 3/4.