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

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


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

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

Combine like terms: 7y + -5y = 2y
7 + 2y = 4(y + 3) + 1

Reorder the terms:
7 + 2y = 4(3 + y) + 1
7 + 2y = (3 * 4 + y * 4) + 1
7 + 2y = (12 + 4y) + 1

Reorder the terms:
7 + 2y = 12 + 1 + 4y

Combine like terms: 12 + 1 = 13
7 + 2y = 13 + 4y

Solving
7 + 2y = 13 + 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.
7 + 2y + -4y = 13 + 4y + -4y

Combine like terms: 2y + -4y = -2y
7 + -2y = 13 + 4y + -4y

Combine like terms: 4y + -4y = 0
7 + -2y = 13 + 0
7 + -2y = 13

Add '-7' to each side of the equation.
7 + -7 + -2y = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = 13 + -7
-2y = 13 + -7

Combine like terms: 13 + -7 = 6
-2y = 6

Divide each side by '-2'.
y = -3

Simplifying
y = -3

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