-7y+42=4(y+5)

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Solution for -7y+42=4(y+5) equation: 


Simplifying
-7y + 42 = 4(y + 5)

Reorder the terms:
42 + -7y = 4(y + 5)

Reorder the terms:
42 + -7y = 4(5 + y)
42 + -7y = (5 * 4 + y * 4)
42 + -7y = (20 + 4y)

Solving
42 + -7y = 20 + 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.
42 + -7y + -4y = 20 + 4y + -4y

Combine like terms: -7y + -4y = -11y
42 + -11y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
42 + -11y = 20 + 0
42 + -11y = 20

Add '-42' to each side of the equation.
42 + -42 + -11y = 20 + -42

Combine like terms: 42 + -42 = 0
0 + -11y = 20 + -42
-11y = 20 + -42

Combine like terms: 20 + -42 = -22
-11y = -22

Divide each side by '-11'.
y = 2

Simplifying
y = 2

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