2(2y+1.5)-1=3y+5

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Solution for 2(2y+1.5)-1=3y+5 equation:


Simplifying
2(2y + 1.5) + -1 = 3y + 5

Reorder the terms:
2(1.5 + 2y) + -1 = 3y + 5
(1.5 * 2 + 2y * 2) + -1 = 3y + 5
(3 + 4y) + -1 = 3y + 5

Reorder the terms:
3 + -1 + 4y = 3y + 5

Combine like terms: 3 + -1 = 2
2 + 4y = 3y + 5

Reorder the terms:
2 + 4y = 5 + 3y

Solving
2 + 4y = 5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2 + 4y + -3y = 5 + 3y + -3y

Combine like terms: 4y + -3y = 1y
2 + 1y = 5 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + 1y = 5 + 0
2 + 1y = 5

Add '-2' to each side of the equation.
2 + -2 + 1y = 5 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 5 + -2
1y = 5 + -2

Combine like terms: 5 + -2 = 3
1y = 3

Divide each side by '1'.
y = 3

Simplifying
y = 3

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