4y+2=-7(y-5)

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Solution for 4y+2=-7(y-5) equation: 


Simplifying
4y + 2 = -7(y + -5)

Reorder the terms:
2 + 4y = -7(y + -5)

Reorder the terms:
2 + 4y = -7(-5 + y)
2 + 4y = (-5 * -7 + y * -7)
2 + 4y = (35 + -7y)

Solving
2 + 4y = 35 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
2 + 4y + 7y = 35 + -7y + 7y

Combine like terms: 4y + 7y = 11y
2 + 11y = 35 + -7y + 7y

Combine like terms: -7y + 7y = 0
2 + 11y = 35 + 0
2 + 11y = 35

Add '-2' to each side of the equation.
2 + -2 + 11y = 35 + -2

Combine like terms: 2 + -2 = 0
0 + 11y = 35 + -2
11y = 35 + -2

Combine like terms: 35 + -2 = 33
11y = 33

Divide each side by '11'.
y = 3

Simplifying
y = 3

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