7(3-2y)+3y=y+4(y-1)

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Solution for 7(3-2y)+3y=y+4(y-1) equation: 


Simplifying
7(3 + -2y) + 3y = y + 4(y + -1)
(3 * 7 + -2y * 7) + 3y = y + 4(y + -1)
(21 + -14y) + 3y = y + 4(y + -1)

Combine like terms: -14y + 3y = -11y
21 + -11y = y + 4(y + -1)

Reorder the terms:
21 + -11y = y + 4(-1 + y)
21 + -11y = y + (-1 * 4 + y * 4)
21 + -11y = y + (-4 + 4y)

Reorder the terms:
21 + -11y = -4 + y + 4y

Combine like terms: y + 4y = 5y
21 + -11y = -4 + 5y

Solving
21 + -11y = -4 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
21 + -11y + -5y = -4 + 5y + -5y

Combine like terms: -11y + -5y = -16y
21 + -16y = -4 + 5y + -5y

Combine like terms: 5y + -5y = 0
21 + -16y = -4 + 0
21 + -16y = -4

Add '-21' to each side of the equation.
21 + -21 + -16y = -4 + -21

Combine like terms: 21 + -21 = 0
0 + -16y = -4 + -21
-16y = -4 + -21

Combine like terms: -4 + -21 = -25
-16y = -25

Divide each side by '-16'.
y = 1.5625

Simplifying
y = 1.5625

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