3y+10=4(y-1)

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Solution for 3y+10=4(y-1) equation:


Simplifying
3y + 10 = 4(y + -1)

Reorder the terms:
10 + 3y = 4(y + -1)

Reorder the terms:
10 + 3y = 4(-1 + y)
10 + 3y = (-1 * 4 + y * 4)
10 + 3y = (-4 + 4y)

Solving
10 + 3y = -4 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
10 + 3y + -4y = -4 + 4y + -4y

Combine like terms: 3y + -4y = -1y
10 + -1y = -4 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + -1y = -4 + 0
10 + -1y = -4

Add '-10' to each side of the equation.
10 + -10 + -1y = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = -4 + -10
-1y = -4 + -10

Combine like terms: -4 + -10 = -14
-1y = -14

Divide each side by '-1'.
y = 14

Simplifying
y = 14

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