5y-3=7+4(1y-2)

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Solution for 5y-3=7+4(1y-2) equation:


Simplifying
5y + -3 = 7 + 4(1y + -2)

Reorder the terms:
-3 + 5y = 7 + 4(1y + -2)

Reorder the terms:
-3 + 5y = 7 + 4(-2 + 1y)
-3 + 5y = 7 + (-2 * 4 + 1y * 4)
-3 + 5y = 7 + (-8 + 4y)

Combine like terms: 7 + -8 = -1
-3 + 5y = -1 + 4y

Solving
-3 + 5y = -1 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-3 + 5y + -4y = -1 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-3 + 1y = -1 + 4y + -4y

Combine like terms: 4y + -4y = 0
-3 + 1y = -1 + 0
-3 + 1y = -1

Add '3' to each side of the equation.
-3 + 3 + 1y = -1 + 3

Combine like terms: -3 + 3 = 0
0 + 1y = -1 + 3
1y = -1 + 3

Combine like terms: -1 + 3 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2

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