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

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


Simplifying
6[4(8 + -1y) + -5(9 + 3y)] + -21 = 7[3(7 + 4y) + -4]
6[(8 * 4 + -1y * 4) + -5(9 + 3y)] + -21 = 7[3(7 + 4y) + -4]
6[(32 + -4y) + -5(9 + 3y)] + -21 = 7[3(7 + 4y) + -4]
6[32 + -4y + (9 * -5 + 3y * -5)] + -21 = 7[3(7 + 4y) + -4]
6[32 + -4y + (-45 + -15y)] + -21 = 7[3(7 + 4y) + -4]

Reorder the terms:
6[32 + -45 + -4y + -15y] + -21 = 7[3(7 + 4y) + -4]

Combine like terms: 32 + -45 = -13
6[-13 + -4y + -15y] + -21 = 7[3(7 + 4y) + -4]

Combine like terms: -4y + -15y = -19y
6[-13 + -19y] + -21 = 7[3(7 + 4y) + -4]
[-13 * 6 + -19y * 6] + -21 = 7[3(7 + 4y) + -4]
[-78 + -114y] + -21 = 7[3(7 + 4y) + -4]

Reorder the terms:
-78 + -21 + -114y = 7[3(7 + 4y) + -4]

Combine like terms: -78 + -21 = -99
-99 + -114y = 7[3(7 + 4y) + -4]
-99 + -114y = 7[(7 * 3 + 4y * 3) + -4]
-99 + -114y = 7[(21 + 12y) + -4]

Reorder the terms:
-99 + -114y = 7[21 + -4 + 12y]

Combine like terms: 21 + -4 = 17
-99 + -114y = 7[17 + 12y]
-99 + -114y = [17 * 7 + 12y * 7]
-99 + -114y = [119 + 84y]

Solving
-99 + -114y = 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.
-99 + -114y + -84y = 119 + 84y + -84y

Combine like terms: -114y + -84y = -198y
-99 + -198y = 119 + 84y + -84y

Combine like terms: 84y + -84y = 0
-99 + -198y = 119 + 0
-99 + -198y = 119

Add '99' to each side of the equation.
-99 + 99 + -198y = 119 + 99

Combine like terms: -99 + 99 = 0
0 + -198y = 119 + 99
-198y = 119 + 99

Combine like terms: 119 + 99 = 218
-198y = 218

Divide each side by '-198'.
y = -1.101010101

Simplifying
y = -1.101010101

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