(16y+1)-(5y-7)=4y-5

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Solution for (16y+1)-(5y-7)=4y-5 equation:


Simplifying
(16y + 1) + -1(5y + -7) = 4y + -5

Reorder the terms:
(1 + 16y) + -1(5y + -7) = 4y + -5

Remove parenthesis around (1 + 16y)
1 + 16y + -1(5y + -7) = 4y + -5

Reorder the terms:
1 + 16y + -1(-7 + 5y) = 4y + -5
1 + 16y + (-7 * -1 + 5y * -1) = 4y + -5
1 + 16y + (7 + -5y) = 4y + -5

Reorder the terms:
1 + 7 + 16y + -5y = 4y + -5

Combine like terms: 1 + 7 = 8
8 + 16y + -5y = 4y + -5

Combine like terms: 16y + -5y = 11y
8 + 11y = 4y + -5

Reorder the terms:
8 + 11y = -5 + 4y

Solving
8 + 11y = -5 + 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.
8 + 11y + -4y = -5 + 4y + -4y

Combine like terms: 11y + -4y = 7y
8 + 7y = -5 + 4y + -4y

Combine like terms: 4y + -4y = 0
8 + 7y = -5 + 0
8 + 7y = -5

Add '-8' to each side of the equation.
8 + -8 + 7y = -5 + -8

Combine like terms: 8 + -8 = 0
0 + 7y = -5 + -8
7y = -5 + -8

Combine like terms: -5 + -8 = -13
7y = -13

Divide each side by '7'.
y = -1.857142857

Simplifying
y = -1.857142857

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