89+2(4y+36)=10(4y+-204)-6

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Solution for 89+2(4y+36)=10(4y+-204)-6 equation:


Simplifying
89 + 2(4y + 36) = 10(4y + -204) + -6

Reorder the terms:
89 + 2(36 + 4y) = 10(4y + -204) + -6
89 + (36 * 2 + 4y * 2) = 10(4y + -204) + -6
89 + (72 + 8y) = 10(4y + -204) + -6

Combine like terms: 89 + 72 = 161
161 + 8y = 10(4y + -204) + -6

Reorder the terms:
161 + 8y = 10(-204 + 4y) + -6
161 + 8y = (-204 * 10 + 4y * 10) + -6
161 + 8y = (-2040 + 40y) + -6

Reorder the terms:
161 + 8y = -2040 + -6 + 40y

Combine like terms: -2040 + -6 = -2046
161 + 8y = -2046 + 40y

Solving
161 + 8y = -2046 + 40y

Solving for variable 'y'.

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

Add '-40y' to each side of the equation.
161 + 8y + -40y = -2046 + 40y + -40y

Combine like terms: 8y + -40y = -32y
161 + -32y = -2046 + 40y + -40y

Combine like terms: 40y + -40y = 0
161 + -32y = -2046 + 0
161 + -32y = -2046

Add '-161' to each side of the equation.
161 + -161 + -32y = -2046 + -161

Combine like terms: 161 + -161 = 0
0 + -32y = -2046 + -161
-32y = -2046 + -161

Combine like terms: -2046 + -161 = -2207
-32y = -2207

Divide each side by '-32'.
y = 68.96875

Simplifying
y = 68.96875

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