-38+4y+7=2(3y-5)-9

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Solution for -38+4y+7=2(3y-5)-9 equation:


Simplifying
-38 + 4y + 7 = 2(3y + -5) + -9

Reorder the terms:
-38 + 7 + 4y = 2(3y + -5) + -9

Combine like terms: -38 + 7 = -31
-31 + 4y = 2(3y + -5) + -9

Reorder the terms:
-31 + 4y = 2(-5 + 3y) + -9
-31 + 4y = (-5 * 2 + 3y * 2) + -9
-31 + 4y = (-10 + 6y) + -9

Reorder the terms:
-31 + 4y = -10 + -9 + 6y

Combine like terms: -10 + -9 = -19
-31 + 4y = -19 + 6y

Solving
-31 + 4y = -19 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-31 + 4y + -6y = -19 + 6y + -6y

Combine like terms: 4y + -6y = -2y
-31 + -2y = -19 + 6y + -6y

Combine like terms: 6y + -6y = 0
-31 + -2y = -19 + 0
-31 + -2y = -19

Add '31' to each side of the equation.
-31 + 31 + -2y = -19 + 31

Combine like terms: -31 + 31 = 0
0 + -2y = -19 + 31
-2y = -19 + 31

Combine like terms: -19 + 31 = 12
-2y = 12

Divide each side by '-2'.
y = -6

Simplifying
y = -6

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