55(y+1)+2=4(y+2)-6

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Solution for 55(y+1)+2=4(y+2)-6 equation: 


Simplifying
55(y + 1) + 2 = 4(y + 2) + -6

Reorder the terms:
55(1 + y) + 2 = 4(y + 2) + -6
(1 * 55 + y * 55) + 2 = 4(y + 2) + -6
(55 + 55y) + 2 = 4(y + 2) + -6

Reorder the terms:
55 + 2 + 55y = 4(y + 2) + -6

Combine like terms: 55 + 2 = 57
57 + 55y = 4(y + 2) + -6

Reorder the terms:
57 + 55y = 4(2 + y) + -6
57 + 55y = (2 * 4 + y * 4) + -6
57 + 55y = (8 + 4y) + -6

Reorder the terms:
57 + 55y = 8 + -6 + 4y

Combine like terms: 8 + -6 = 2
57 + 55y = 2 + 4y

Solving
57 + 55y = 2 + 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.
57 + 55y + -4y = 2 + 4y + -4y

Combine like terms: 55y + -4y = 51y
57 + 51y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
57 + 51y = 2 + 0
57 + 51y = 2

Add '-57' to each side of the equation.
57 + -57 + 51y = 2 + -57

Combine like terms: 57 + -57 = 0
0 + 51y = 2 + -57
51y = 2 + -57

Combine like terms: 2 + -57 = -55
51y = -55

Divide each side by '51'.
y = -1.078431373

Simplifying
y = -1.078431373

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