49(2)-4(y+11)=3y-2

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Solution for 49(2)-4(y+11)=3y-2 equation:


Simplifying
49(2) + -4(y + 11) = 3y + -2

Multiply 49 * 2
98 + -4(y + 11) = 3y + -2

Reorder the terms:
98 + -4(11 + y) = 3y + -2
98 + (11 * -4 + y * -4) = 3y + -2
98 + (-44 + -4y) = 3y + -2

Combine like terms: 98 + -44 = 54
54 + -4y = 3y + -2

Reorder the terms:
54 + -4y = -2 + 3y

Solving
54 + -4y = -2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
54 + -4y + -3y = -2 + 3y + -3y

Combine like terms: -4y + -3y = -7y
54 + -7y = -2 + 3y + -3y

Combine like terms: 3y + -3y = 0
54 + -7y = -2 + 0
54 + -7y = -2

Add '-54' to each side of the equation.
54 + -54 + -7y = -2 + -54

Combine like terms: 54 + -54 = 0
0 + -7y = -2 + -54
-7y = -2 + -54

Combine like terms: -2 + -54 = -56
-7y = -56

Divide each side by '-7'.
y = 8

Simplifying
y = 8

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