6[4(8-4)-5(9+39)]-21=7[3(7+4y)-4]

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Solution for 6[4(8-4)-5(9+39)]-21=7[3(7+4y)-4] equation:


Simplifying
6[4(8 + -4) + -5(9 + 39)] + -21 = 7[3(7 + 4y) + -4]

Combine like terms: 8 + -4 = 4
6[4(4) + -5(9 + 39)] + -21 = 7[3(7 + 4y) + -4]

Multiply 4 * 4
6[16 + -5(9 + 39)] + -21 = 7[3(7 + 4y) + -4]

Combine like terms: 9 + 39 = 48
6[16 + -5(48)] + -21 = 7[3(7 + 4y) + -4]

Multiply -5 * 48
6[16 + -240] + -21 = 7[3(7 + 4y) + -4]

Combine like terms: 16 + -240 = -224
6[-224] + -21 = 7[3(7 + 4y) + -4]

Multiply 6 * -224
-1344 + -21 = 7[3(7 + 4y) + -4]

Combine like terms: -1344 + -21 = -1365
-1365 = 7[3(7 + 4y) + -4]
-1365 = 7[(7 * 3 + 4y * 3) + -4]
-1365 = 7[(21 + 12y) + -4]

Reorder the terms:
-1365 = 7[21 + -4 + 12y]

Combine like terms: 21 + -4 = 17
-1365 = 7[17 + 12y]
-1365 = [17 * 7 + 12y * 7]
-1365 = [119 + 84y]

Solving
-1365 = 119 + 84y

Solving for variable 'y'.

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

Add '-84y' to each side of the equation.
-1365 + -84y = 119 + 84y + -84y

Combine like terms: 84y + -84y = 0
-1365 + -84y = 119 + 0
-1365 + -84y = 119

Add '1365' to each side of the equation.
-1365 + 1365 + -84y = 119 + 1365

Combine like terms: -1365 + 1365 = 0
0 + -84y = 119 + 1365
-84y = 119 + 1365

Combine like terms: 119 + 1365 = 1484
-84y = 1484

Divide each side by '-84'.
y = -17.66666667

Simplifying
y = -17.66666667

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