(4y+5)=90-(4y+8)

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Solution for (4y+5)=90-(4y+8) equation:


Simplifying
(4y + 5) = 90 + -1(4y + 8)

Reorder the terms:
(5 + 4y) = 90 + -1(4y + 8)

Remove parenthesis around (5 + 4y)
5 + 4y = 90 + -1(4y + 8)

Reorder the terms:
5 + 4y = 90 + -1(8 + 4y)
5 + 4y = 90 + (8 * -1 + 4y * -1)
5 + 4y = 90 + (-8 + -4y)

Combine like terms: 90 + -8 = 82
5 + 4y = 82 + -4y

Solving
5 + 4y = 82 + -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.
5 + 4y + 4y = 82 + -4y + 4y

Combine like terms: 4y + 4y = 8y
5 + 8y = 82 + -4y + 4y

Combine like terms: -4y + 4y = 0
5 + 8y = 82 + 0
5 + 8y = 82

Add '-5' to each side of the equation.
5 + -5 + 8y = 82 + -5

Combine like terms: 5 + -5 = 0
0 + 8y = 82 + -5
8y = 82 + -5

Combine like terms: 82 + -5 = 77
8y = 77

Divide each side by '8'.
y = 9.625

Simplifying
y = 9.625

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