(5y+1)=90-(3y-7)

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Solution for (5y+1)=90-(3y-7) equation:


Simplifying
(5y + 1) = 90 + -1(3y + -7)

Reorder the terms:
(1 + 5y) = 90 + -1(3y + -7)

Remove parenthesis around (1 + 5y)
1 + 5y = 90 + -1(3y + -7)

Reorder the terms:
1 + 5y = 90 + -1(-7 + 3y)
1 + 5y = 90 + (-7 * -1 + 3y * -1)
1 + 5y = 90 + (7 + -3y)

Combine like terms: 90 + 7 = 97
1 + 5y = 97 + -3y

Solving
1 + 5y = 97 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
1 + 5y + 3y = 97 + -3y + 3y

Combine like terms: 5y + 3y = 8y
1 + 8y = 97 + -3y + 3y

Combine like terms: -3y + 3y = 0
1 + 8y = 97 + 0
1 + 8y = 97

Add '-1' to each side of the equation.
1 + -1 + 8y = 97 + -1

Combine like terms: 1 + -1 = 0
0 + 8y = 97 + -1
8y = 97 + -1

Combine like terms: 97 + -1 = 96
8y = 96

Divide each side by '8'.
y = 12

Simplifying
y = 12

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