7(y-2)-4(5-y)=10

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Solution for 7(y-2)-4(5-y)=10 equation:


Simplifying
7(y + -2) + -4(5 + -1y) = 10

Reorder the terms:
7(-2 + y) + -4(5 + -1y) = 10
(-2 * 7 + y * 7) + -4(5 + -1y) = 10
(-14 + 7y) + -4(5 + -1y) = 10
-14 + 7y + (5 * -4 + -1y * -4) = 10
-14 + 7y + (-20 + 4y) = 10

Reorder the terms:
-14 + -20 + 7y + 4y = 10

Combine like terms: -14 + -20 = -34
-34 + 7y + 4y = 10

Combine like terms: 7y + 4y = 11y
-34 + 11y = 10

Solving
-34 + 11y = 10

Solving for variable 'y'.

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

Add '34' to each side of the equation.
-34 + 34 + 11y = 10 + 34

Combine like terms: -34 + 34 = 0
0 + 11y = 10 + 34
11y = 10 + 34

Combine like terms: 10 + 34 = 44
11y = 44

Divide each side by '11'.
y = 4

Simplifying
y = 4

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