49(y-3)=2y-12

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Solution for 49(y-3)=2y-12 equation:


Simplifying
49(y + -3) = 2y + -12

Reorder the terms:
49(-3 + y) = 2y + -12
(-3 * 49 + y * 49) = 2y + -12
(-147 + 49y) = 2y + -12

Reorder the terms:
-147 + 49y = -12 + 2y

Solving
-147 + 49y = -12 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-147 + 49y + -2y = -12 + 2y + -2y

Combine like terms: 49y + -2y = 47y
-147 + 47y = -12 + 2y + -2y

Combine like terms: 2y + -2y = 0
-147 + 47y = -12 + 0
-147 + 47y = -12

Add '147' to each side of the equation.
-147 + 147 + 47y = -12 + 147

Combine like terms: -147 + 147 = 0
0 + 47y = -12 + 147
47y = -12 + 147

Combine like terms: -12 + 147 = 135
47y = 135

Divide each side by '47'.
y = 2.872340426

Simplifying
y = 2.872340426

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