4(5-14)=y-7

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Solution for 4(5-14)=y-7 equation:


Simplifying
4(5 + -14) = y + -7

Combine like terms: 5 + -14 = -9
4(-9) = y + -7

Multiply 4 * -9
-36 = y + -7

Reorder the terms:
-36 = -7 + y

Solving
-36 = -7 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-36 + -1y = -7 + y + -1y

Combine like terms: y + -1y = 0
-36 + -1y = -7 + 0
-36 + -1y = -7

Add '36' to each side of the equation.
-36 + 36 + -1y = -7 + 36

Combine like terms: -36 + 36 = 0
0 + -1y = -7 + 36
-1y = -7 + 36

Combine like terms: -7 + 36 = 29
-1y = 29

Divide each side by '-1'.
y = -29

Simplifying
y = -29

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