8(y-3)+7=4y+23

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Solution for 8(y-3)+7=4y+23 equation:


Simplifying
8(y + -3) + 7 = 4y + 23

Reorder the terms:
8(-3 + y) + 7 = 4y + 23
(-3 * 8 + y * 8) + 7 = 4y + 23
(-24 + 8y) + 7 = 4y + 23

Reorder the terms:
-24 + 7 + 8y = 4y + 23

Combine like terms: -24 + 7 = -17
-17 + 8y = 4y + 23

Reorder the terms:
-17 + 8y = 23 + 4y

Solving
-17 + 8y = 23 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-17 + 8y + -4y = 23 + 4y + -4y

Combine like terms: 8y + -4y = 4y
-17 + 4y = 23 + 4y + -4y

Combine like terms: 4y + -4y = 0
-17 + 4y = 23 + 0
-17 + 4y = 23

Add '17' to each side of the equation.
-17 + 17 + 4y = 23 + 17

Combine like terms: -17 + 17 = 0
0 + 4y = 23 + 17
4y = 23 + 17

Combine like terms: 23 + 17 = 40
4y = 40

Divide each side by '4'.
y = 10

Simplifying
y = 10

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