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Simplifying 3y + -64 = 4(4y + -3) Reorder the terms: -64 + 3y = 4(4y + -3) Reorder the terms: -64 + 3y = 4(-3 + 4y) -64 + 3y = (-3 * 4 + 4y * 4) -64 + 3y = (-12 + 16y) Solving -64 + 3y = -12 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -64 + 3y + -16y = -12 + 16y + -16y Combine like terms: 3y + -16y = -13y -64 + -13y = -12 + 16y + -16y Combine like terms: 16y + -16y = 0 -64 + -13y = -12 + 0 -64 + -13y = -12 Add '64' to each side of the equation. -64 + 64 + -13y = -12 + 64 Combine like terms: -64 + 64 = 0 0 + -13y = -12 + 64 -13y = -12 + 64 Combine like terms: -12 + 64 = 52 -13y = 52 Divide each side by '-13'. y = -4 Simplifying y = -4
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