-38(14)=2(3y+1)-7(9y+3)

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Solution for -38(14)=2(3y+1)-7(9y+3) equation:


Simplifying
-38(14) = 2(3y + 1) + -7(9y + 3)

Multiply -38 * 14
-532 = 2(3y + 1) + -7(9y + 3)

Reorder the terms:
-532 = 2(1 + 3y) + -7(9y + 3)
-532 = (1 * 2 + 3y * 2) + -7(9y + 3)
-532 = (2 + 6y) + -7(9y + 3)

Reorder the terms:
-532 = 2 + 6y + -7(3 + 9y)
-532 = 2 + 6y + (3 * -7 + 9y * -7)
-532 = 2 + 6y + (-21 + -63y)

Reorder the terms:
-532 = 2 + -21 + 6y + -63y

Combine like terms: 2 + -21 = -19
-532 = -19 + 6y + -63y

Combine like terms: 6y + -63y = -57y
-532 = -19 + -57y

Solving
-532 = -19 + -57y

Solving for variable 'y'.

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

Add '57y' to each side of the equation.
-532 + 57y = -19 + -57y + 57y

Combine like terms: -57y + 57y = 0
-532 + 57y = -19 + 0
-532 + 57y = -19

Add '532' to each side of the equation.
-532 + 532 + 57y = -19 + 532

Combine like terms: -532 + 532 = 0
0 + 57y = -19 + 532
57y = -19 + 532

Combine like terms: -19 + 532 = 513
57y = 513

Divide each side by '57'.
y = 9

Simplifying
y = 9

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