-6(y-2y)+7=4(4y-y)+3+17y

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Solution for -6(y-2y)+7=4(4y-y)+3+17y equation:


Simplifying
-6(y + -2y) + 7 = 4(4y + -1y) + 3 + 17y

Combine like terms: y + -2y = -1y
-6(-1y) + 7 = 4(4y + -1y) + 3 + 17y

Remove parenthesis around (-1y)
-6 * -1y + 7 = 4(4y + -1y) + 3 + 17y

Multiply -6 * -1
6y + 7 = 4(4y + -1y) + 3 + 17y

Reorder the terms:
7 + 6y = 4(4y + -1y) + 3 + 17y

Combine like terms: 4y + -1y = 3y
7 + 6y = 4(3y) + 3 + 17y

Remove parenthesis around (3y)
7 + 6y = 4 * 3y + 3 + 17y

Multiply 4 * 3
7 + 6y = 12y + 3 + 17y

Reorder the terms:
7 + 6y = 3 + 12y + 17y

Combine like terms: 12y + 17y = 29y
7 + 6y = 3 + 29y

Solving
7 + 6y = 3 + 29y

Solving for variable 'y'.

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

Add '-29y' to each side of the equation.
7 + 6y + -29y = 3 + 29y + -29y

Combine like terms: 6y + -29y = -23y
7 + -23y = 3 + 29y + -29y

Combine like terms: 29y + -29y = 0
7 + -23y = 3 + 0
7 + -23y = 3

Add '-7' to each side of the equation.
7 + -7 + -23y = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -23y = 3 + -7
-23y = 3 + -7

Combine like terms: 3 + -7 = -4
-23y = -4

Divide each side by '-23'.
y = 0.1739130435

Simplifying
y = 0.1739130435

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