2y+43=-5+4(y+10)

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Solution for 2y+43=-5+4(y+10) equation:


Simplifying
2y + 43 = -5 + 4(y + 10)

Reorder the terms:
43 + 2y = -5 + 4(y + 10)

Reorder the terms:
43 + 2y = -5 + 4(10 + y)
43 + 2y = -5 + (10 * 4 + y * 4)
43 + 2y = -5 + (40 + 4y)

Combine like terms: -5 + 40 = 35
43 + 2y = 35 + 4y

Solving
43 + 2y = 35 + 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.
43 + 2y + -4y = 35 + 4y + -4y

Combine like terms: 2y + -4y = -2y
43 + -2y = 35 + 4y + -4y

Combine like terms: 4y + -4y = 0
43 + -2y = 35 + 0
43 + -2y = 35

Add '-43' to each side of the equation.
43 + -43 + -2y = 35 + -43

Combine like terms: 43 + -43 = 0
0 + -2y = 35 + -43
-2y = 35 + -43

Combine like terms: 35 + -43 = -8
-2y = -8

Divide each side by '-2'.
y = 4

Simplifying
y = 4

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