4(6y-2)-7(4y-3)=-3

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Solution for 4(6y-2)-7(4y-3)=-3 equation:


Simplifying
4(6y + -2) + -7(4y + -3) = -3

Reorder the terms:
4(-2 + 6y) + -7(4y + -3) = -3
(-2 * 4 + 6y * 4) + -7(4y + -3) = -3
(-8 + 24y) + -7(4y + -3) = -3

Reorder the terms:
-8 + 24y + -7(-3 + 4y) = -3
-8 + 24y + (-3 * -7 + 4y * -7) = -3
-8 + 24y + (21 + -28y) = -3

Reorder the terms:
-8 + 21 + 24y + -28y = -3

Combine like terms: -8 + 21 = 13
13 + 24y + -28y = -3

Combine like terms: 24y + -28y = -4y
13 + -4y = -3

Solving
13 + -4y = -3

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + -4y = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -4y = -3 + -13
-4y = -3 + -13

Combine like terms: -3 + -13 = -16
-4y = -16

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

Simplifying
y = 4

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