2(7y-3)-5(2y-3)=3

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Solution for 2(7y-3)-5(2y-3)=3 equation:


Simplifying
2(7y + -3) + -5(2y + -3) = 3

Reorder the terms:
2(-3 + 7y) + -5(2y + -3) = 3
(-3 * 2 + 7y * 2) + -5(2y + -3) = 3
(-6 + 14y) + -5(2y + -3) = 3

Reorder the terms:
-6 + 14y + -5(-3 + 2y) = 3
-6 + 14y + (-3 * -5 + 2y * -5) = 3
-6 + 14y + (15 + -10y) = 3

Reorder the terms:
-6 + 15 + 14y + -10y = 3

Combine like terms: -6 + 15 = 9
9 + 14y + -10y = 3

Combine like terms: 14y + -10y = 4y
9 + 4y = 3

Solving
9 + 4y = 3

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + 4y = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 4y = 3 + -9
4y = 3 + -9

Combine like terms: 3 + -9 = -6
4y = -6

Divide each side by '4'.
y = -1.5

Simplifying
y = -1.5

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