3(3y+1)-25=4(2y+3)+1

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Solution for 3(3y+1)-25=4(2y+3)+1 equation:


Simplifying
3(3y + 1) + -25 = 4(2y + 3) + 1

Reorder the terms:
3(1 + 3y) + -25 = 4(2y + 3) + 1
(1 * 3 + 3y * 3) + -25 = 4(2y + 3) + 1
(3 + 9y) + -25 = 4(2y + 3) + 1

Reorder the terms:
3 + -25 + 9y = 4(2y + 3) + 1

Combine like terms: 3 + -25 = -22
-22 + 9y = 4(2y + 3) + 1

Reorder the terms:
-22 + 9y = 4(3 + 2y) + 1
-22 + 9y = (3 * 4 + 2y * 4) + 1
-22 + 9y = (12 + 8y) + 1

Reorder the terms:
-22 + 9y = 12 + 1 + 8y

Combine like terms: 12 + 1 = 13
-22 + 9y = 13 + 8y

Solving
-22 + 9y = 13 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-22 + 9y + -8y = 13 + 8y + -8y

Combine like terms: 9y + -8y = 1y
-22 + 1y = 13 + 8y + -8y

Combine like terms: 8y + -8y = 0
-22 + 1y = 13 + 0
-22 + 1y = 13

Add '22' to each side of the equation.
-22 + 22 + 1y = 13 + 22

Combine like terms: -22 + 22 = 0
0 + 1y = 13 + 22
1y = 13 + 22

Combine like terms: 13 + 22 = 35
1y = 35

Divide each side by '1'.
y = 35

Simplifying
y = 35

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