7(4y-5)=3(t+3)

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Solution for 7(4y-5)=3(t+3) equation:


Simplifying
7(4y + -5) = 3(t + 3)

Reorder the terms:
7(-5 + 4y) = 3(t + 3)
(-5 * 7 + 4y * 7) = 3(t + 3)
(-35 + 28y) = 3(t + 3)

Reorder the terms:
-35 + 28y = 3(3 + t)
-35 + 28y = (3 * 3 + t * 3)
-35 + 28y = (9 + 3t)

Solving
-35 + 28y = 9 + 3t

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '35' to each side of the equation.
-35 + 35 + 28y = 9 + 35 + 3t

Combine like terms: -35 + 35 = 0
0 + 28y = 9 + 35 + 3t
28y = 9 + 35 + 3t

Combine like terms: 9 + 35 = 44
28y = 44 + 3t

Divide each side by '28'.
y = 1.571428571 + 0.1071428571t

Simplifying
y = 1.571428571 + 0.1071428571t

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