2(1y+2)+1y=19(2y+3)

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Solution for 2(1y+2)+1y=19(2y+3) equation:


Simplifying
2(1y + 2) + 1y = 19(2y + 3)

Reorder the terms:
2(2 + 1y) + 1y = 19(2y + 3)
(2 * 2 + 1y * 2) + 1y = 19(2y + 3)
(4 + 2y) + 1y = 19(2y + 3)

Combine like terms: 2y + 1y = 3y
4 + 3y = 19(2y + 3)

Reorder the terms:
4 + 3y = 19(3 + 2y)
4 + 3y = (3 * 19 + 2y * 19)
4 + 3y = (57 + 38y)

Solving
4 + 3y = 57 + 38y

Solving for variable 'y'.

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

Add '-38y' to each side of the equation.
4 + 3y + -38y = 57 + 38y + -38y

Combine like terms: 3y + -38y = -35y
4 + -35y = 57 + 38y + -38y

Combine like terms: 38y + -38y = 0
4 + -35y = 57 + 0
4 + -35y = 57

Add '-4' to each side of the equation.
4 + -4 + -35y = 57 + -4

Combine like terms: 4 + -4 = 0
0 + -35y = 57 + -4
-35y = 57 + -4

Combine like terms: 57 + -4 = 53
-35y = 53

Divide each side by '-35'.
y = -1.514285714

Simplifying
y = -1.514285714

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