Question: and check your answers:
(2) 11y - 2 = 10y + 4
(3) 7 - 3m = 5 - 2m
(2) 7p = 6p + 8
(3) 6t = 4t + 10
(6) 5m + 2 = 4m - 9
(9) 2x + 8 = 7x - 2
(12) 2x + 7 = 3 - x + 4
(15) 7 - 2x = 2x - 7
(18) (5 - 2x)/3 = -4x
4x + 4 = 3x + 8
4k + 5 = 5k - 9
8 - 3x = 2x - 27
4 - 4x = 7 - 7x
x - 9 = (1/4)x + 3
1. **Solve the equation** $11y - 2 = 10y + 4$.
2. Start by isolating $y$ on one side.
3. Subtract $10y$ from both sides:
$$11y - 10y - 2 = 10y - 10y + 4 \implies y - 2 = 4$$
4. Add $2$ to both sides:
$$y - 2 + 2 = 4 + 2 \implies y = 6$$
5. **Check the solution** by substituting $y=6$ back into the original equation:
$$11(6) - 2 = 66 - 2 = 64$$
$$10(6) + 4 = 60 + 4 = 64$$
Both sides equal $64$, so $y=6$ is correct.