8y+3(4-7)=4(y+1)-3

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Solution for 8y+3(4-7)=4(y+1)-3 equation:


Simplifying
8y + 3(4 + -7) = 4(y + 1) + -3

Combine like terms: 4 + -7 = -3
8y + 3(-3) = 4(y + 1) + -3

Multiply 3 * -3
8y + -9 = 4(y + 1) + -3

Reorder the terms:
-9 + 8y = 4(y + 1) + -3

Reorder the terms:
-9 + 8y = 4(1 + y) + -3
-9 + 8y = (1 * 4 + y * 4) + -3
-9 + 8y = (4 + 4y) + -3

Reorder the terms:
-9 + 8y = 4 + -3 + 4y

Combine like terms: 4 + -3 = 1
-9 + 8y = 1 + 4y

Solving
-9 + 8y = 1 + 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.
-9 + 8y + -4y = 1 + 4y + -4y

Combine like terms: 8y + -4y = 4y
-9 + 4y = 1 + 4y + -4y

Combine like terms: 4y + -4y = 0
-9 + 4y = 1 + 0
-9 + 4y = 1

Add '9' to each side of the equation.
-9 + 9 + 4y = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 4y = 1 + 9
4y = 1 + 9

Combine like terms: 1 + 9 = 10
4y = 10

Divide each side by '4'.
y = 2.5

Simplifying
y = 2.5

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